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Finding the Third Proportional to 25,125.75 and 54,609.75

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Solution

The third proportional to 25,125.75 and 54,609.75 is: 118,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,125.75 : 54,609.75 = 54,609.75 : x
  2. Step 2: Convert to fraction form
    25,125.75/54,609.75 = 54,609.75/x
  3. Step 3: Cross multiply
    25,125.75x = 54,609.75 × 54,609.75
  4. Step 4: Simplify right side
    25,125.75x = 2,982,224,795.06
  5. Step 5: Solve for x
    x = 2,982,224,795.06/25,125.75
  6. Step 6: Final answer
    x = 118,691.97

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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.