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Finding the Third Proportional to 25,327 and 54,947

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Solution

The third proportional to 25,327 and 54,947 is: 119,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,327 : 54,947 = 54,947 : x
  2. Step 2: Convert to fraction form
    25,327/54,947 = 54,947/x
  3. Step 3: Cross multiply
    25,327x = 54,947 × 54,947
  4. Step 4: Simplify right side
    25,327x = 3,019,172,809
  5. Step 5: Solve for x
    x = 3,019,172,809/25,327
  6. Step 6: Final answer
    x = 119,207.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.