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Finding the Third Proportional to 13,938.50 and 29,497

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Solution

The third proportional to 13,938.50 and 29,497 is: 62,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.50 : 29,497 = 29,497 : x
  2. Step 2: Convert to fraction form
    13,938.50/29,497 = 29,497/x
  3. Step 3: Cross multiply
    13,938.50x = 29,497 × 29,497
  4. Step 4: Simplify right side
    13,938.50x = 870,073,009
  5. Step 5: Solve for x
    x = 870,073,009/13,938.50
  6. Step 6: Final answer
    x = 62,422.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.