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Finding the Third Proportional to 15,937 and 31,477

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Solution

The third proportional to 15,937 and 31,477 is: 62,169.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,937 : 31,477 = 31,477 : x
  2. Step 2: Convert to fraction form
    15,937/31,477 = 31,477/x
  3. Step 3: Cross multiply
    15,937x = 31,477 × 31,477
  4. Step 4: Simplify right side
    15,937x = 990,801,529
  5. Step 5: Solve for x
    x = 990,801,529/15,937
  6. Step 6: Final answer
    x = 62,169.89

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.