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Finding the Third Proportional to 14,031 and 29,643

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Solution

The third proportional to 14,031 and 29,643 is: 62,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031 : 29,643 = 29,643 : x
  2. Step 2: Convert to fraction form
    14,031/29,643 = 29,643/x
  3. Step 3: Cross multiply
    14,031x = 29,643 × 29,643
  4. Step 4: Simplify right side
    14,031x = 878,707,449
  5. Step 5: Solve for x
    x = 878,707,449/14,031
  6. Step 6: Final answer
    x = 62,626.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.