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Finding the Third Proportional to 34,713.50 and 74,701

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Solution

The third proportional to 34,713.50 and 74,701 is: 160,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,713.50 : 74,701 = 74,701 : x
  2. Step 2: Convert to fraction form
    34,713.50/74,701 = 74,701/x
  3. Step 3: Cross multiply
    34,713.50x = 74,701 × 74,701
  4. Step 4: Simplify right side
    34,713.50x = 5,580,239,401
  5. Step 5: Solve for x
    x = 5,580,239,401/34,713.50
  6. Step 6: Final answer
    x = 160,751.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.