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Finding the Third Proportional to 25,542 and 54,972

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Solution

The third proportional to 25,542 and 54,972 is: 118,311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542 : 54,972 = 54,972 : x
  2. Step 2: Convert to fraction form
    25,542/54,972 = 54,972/x
  3. Step 3: Cross multiply
    25,542x = 54,972 × 54,972
  4. Step 4: Simplify right side
    25,542x = 3,021,920,784
  5. Step 5: Solve for x
    x = 3,021,920,784/25,542
  6. Step 6: Final answer
    x = 118,311.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.