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Finding the Third Proportional to 29,872 and 41,864

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Solution

The third proportional to 29,872 and 41,864 is: 58,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,872 : 41,864 = 41,864 : x
  2. Step 2: Convert to fraction form
    29,872/41,864 = 41,864/x
  3. Step 3: Cross multiply
    29,872x = 41,864 × 41,864
  4. Step 4: Simplify right side
    29,872x = 1,752,594,496
  5. Step 5: Solve for x
    x = 1,752,594,496/29,872
  6. Step 6: Final answer
    x = 58,670.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.