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Finding the Third Proportional to 29,902 and 47,589

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Solution

The third proportional to 29,902 and 47,589 is: 75,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902 : 47,589 = 47,589 : x
  2. Step 2: Convert to fraction form
    29,902/47,589 = 47,589/x
  3. Step 3: Cross multiply
    29,902x = 47,589 × 47,589
  4. Step 4: Simplify right side
    29,902x = 2,264,712,921
  5. Step 5: Solve for x
    x = 2,264,712,921/29,902
  6. Step 6: Final answer
    x = 75,737.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.