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Finding the Third Proportional to 13,799 and 29,443

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Solution

The third proportional to 13,799 and 29,443 is: 62,822.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,799 : 29,443 = 29,443 : x
  2. Step 2: Convert to fraction form
    13,799/29,443 = 29,443/x
  3. Step 3: Cross multiply
    13,799x = 29,443 × 29,443
  4. Step 4: Simplify right side
    13,799x = 866,890,249
  5. Step 5: Solve for x
    x = 866,890,249/13,799
  6. Step 6: Final answer
    x = 62,822.69

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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.