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Finding the Third Proportional to 7,625.75 and 16,538.50

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Solution

The third proportional to 7,625.75 and 16,538.50 is: 35,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,625.75 : 16,538.50 = 16,538.50 : x
  2. Step 2: Convert to fraction form
    7,625.75/16,538.50 = 16,538.50/x
  3. Step 3: Cross multiply
    7,625.75x = 16,538.50 × 16,538.50
  4. Step 4: Simplify right side
    7,625.75x = 273,521,982.25
  5. Step 5: Solve for x
    x = 273,521,982.25/7,625.75
  6. Step 6: Final answer
    x = 35,868.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.