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Finding the Third Proportional to 14,675 and 31,742

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Solution

The third proportional to 14,675 and 31,742 is: 68,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,675 : 31,742 = 31,742 : x
  2. Step 2: Convert to fraction form
    14,675/31,742 = 31,742/x
  3. Step 3: Cross multiply
    14,675x = 31,742 × 31,742
  4. Step 4: Simplify right side
    14,675x = 1,007,554,564
  5. Step 5: Solve for x
    x = 1,007,554,564/14,675
  6. Step 6: Final answer
    x = 68,657.89

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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.