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Finding the Third Proportional to 29,476 and 63,643

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Solution

The third proportional to 29,476 and 63,643 is: 137,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,476 : 63,643 = 63,643 : x
  2. Step 2: Convert to fraction form
    29,476/63,643 = 63,643/x
  3. Step 3: Cross multiply
    29,476x = 63,643 × 63,643
  4. Step 4: Simplify right side
    29,476x = 4,050,431,449
  5. Step 5: Solve for x
    x = 4,050,431,449/29,476
  6. Step 6: Final answer
    x = 137,414.56

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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.