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Finding the Third Proportional to 25,660.13 and 55,377

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Solution

The third proportional to 25,660.13 and 55,377 is: 119,508.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,660.13 : 55,377 = 55,377 : x
  2. Step 2: Convert to fraction form
    25,660.13/55,377 = 55,377/x
  3. Step 3: Cross multiply
    25,660.13x = 55,377 × 55,377
  4. Step 4: Simplify right side
    25,660.13x = 3,066,612,129
  5. Step 5: Solve for x
    x = 3,066,612,129/25,660.13
  6. Step 6: Final answer
    x = 119,508.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.