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Finding the Third Proportional to 29,643 and 52,713

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Solution

The third proportional to 29,643 and 52,713 is: 93,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,643 : 52,713 = 52,713 : x
  2. Step 2: Convert to fraction form
    29,643/52,713 = 52,713/x
  3. Step 3: Cross multiply
    29,643x = 52,713 × 52,713
  4. Step 4: Simplify right side
    29,643x = 2,778,660,369
  5. Step 5: Solve for x
    x = 2,778,660,369/29,643
  6. Step 6: Final answer
    x = 93,737.49

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.