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Finding the Third Proportional to 14,671 and 31,681

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Solution

The third proportional to 14,671 and 31,681 is: 68,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671 : 31,681 = 31,681 : x
  2. Step 2: Convert to fraction form
    14,671/31,681 = 31,681/x
  3. Step 3: Cross multiply
    14,671x = 31,681 × 31,681
  4. Step 4: Simplify right side
    14,671x = 1,003,685,761
  5. Step 5: Solve for x
    x = 1,003,685,761/14,671
  6. Step 6: Final answer
    x = 68,412.91

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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.