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Finding the Third Proportional to 34,134 and 54,792

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Solution

The third proportional to 34,134 and 54,792 is: 87,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,134 : 54,792 = 54,792 : x
  2. Step 2: Convert to fraction form
    34,134/54,792 = 54,792/x
  3. Step 3: Cross multiply
    34,134x = 54,792 × 54,792
  4. Step 4: Simplify right side
    34,134x = 3,002,163,264
  5. Step 5: Solve for x
    x = 3,002,163,264/34,134
  6. Step 6: Final answer
    x = 87,952.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.