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Finding the Third Proportional to 14,537 and 31,399

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Solution

The third proportional to 14,537 and 31,399 is: 67,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537 : 31,399 = 31,399 : x
  2. Step 2: Convert to fraction form
    14,537/31,399 = 31,399/x
  3. Step 3: Cross multiply
    14,537x = 31,399 × 31,399
  4. Step 4: Simplify right side
    14,537x = 985,897,201
  5. Step 5: Solve for x
    x = 985,897,201/14,537
  6. Step 6: Final answer
    x = 67,819.85

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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.