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Finding the Third Proportional to 29,548 and 39,864

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Solution

The third proportional to 29,548 and 39,864 is: 53,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,548 : 39,864 = 39,864 : x
  2. Step 2: Convert to fraction form
    29,548/39,864 = 39,864/x
  3. Step 3: Cross multiply
    29,548x = 39,864 × 39,864
  4. Step 4: Simplify right side
    29,548x = 1,589,138,496
  5. Step 5: Solve for x
    x = 1,589,138,496/29,548
  6. Step 6: Final answer
    x = 53,781.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.