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Finding the Third Proportional to 38,020 and 55,542

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Solution

The third proportional to 38,020 and 55,542 is: 81,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,020 : 55,542 = 55,542 : x
  2. Step 2: Convert to fraction form
    38,020/55,542 = 55,542/x
  3. Step 3: Cross multiply
    38,020x = 55,542 × 55,542
  4. Step 4: Simplify right side
    38,020x = 3,084,913,764
  5. Step 5: Solve for x
    x = 3,084,913,764/38,020
  6. Step 6: Final answer
    x = 81,139.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.