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Finding the Third Proportional to 34,400.25 and 74,416.50

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Solution

The third proportional to 34,400.25 and 74,416.50 is: 160,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,400.25 : 74,416.50 = 74,416.50 : x
  2. Step 2: Convert to fraction form
    34,400.25/74,416.50 = 74,416.50/x
  3. Step 3: Cross multiply
    34,400.25x = 74,416.50 × 74,416.50
  4. Step 4: Simplify right side
    34,400.25x = 5,537,815,472.25
  5. Step 5: Solve for x
    x = 5,537,815,472.25/34,400.25
  6. Step 6: Final answer
    x = 160,981.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.