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Finding the Third Proportional to 10,237.50 and 15,414.75

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Solution

The third proportional to 10,237.50 and 15,414.75 is: 23,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.50 : 15,414.75 = 15,414.75 : x
  2. Step 2: Convert to fraction form
    10,237.50/15,414.75 = 15,414.75/x
  3. Step 3: Cross multiply
    10,237.50x = 15,414.75 × 15,414.75
  4. Step 4: Simplify right side
    10,237.50x = 237,614,517.56
  5. Step 5: Solve for x
    x = 237,614,517.56/10,237.50
  6. Step 6: Final answer
    x = 23,210.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.