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Finding the Third Proportional to 14,729 and 31,443

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Solution

The third proportional to 14,729 and 31,443 is: 67,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,729 : 31,443 = 31,443 : x
  2. Step 2: Convert to fraction form
    14,729/31,443 = 31,443/x
  3. Step 3: Cross multiply
    14,729x = 31,443 × 31,443
  4. Step 4: Simplify right side
    14,729x = 988,662,249
  5. Step 5: Solve for x
    x = 988,662,249/14,729
  6. Step 6: Final answer
    x = 67,123.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.