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Finding the Third Proportional to 26,754 and 57,972

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Solution

The third proportional to 26,754 and 57,972 is: 125,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,754 : 57,972 = 57,972 : x
  2. Step 2: Convert to fraction form
    26,754/57,972 = 57,972/x
  3. Step 3: Cross multiply
    26,754x = 57,972 × 57,972
  4. Step 4: Simplify right side
    26,754x = 3,360,752,784
  5. Step 5: Solve for x
    x = 3,360,752,784/26,754
  6. Step 6: Final answer
    x = 125,616.83

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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.