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Finding the Third Proportional to 24,320 and 38,101

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Solution

The third proportional to 24,320 and 38,101 is: 59,691.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,320 : 38,101 = 38,101 : x
  2. Step 2: Convert to fraction form
    24,320/38,101 = 38,101/x
  3. Step 3: Cross multiply
    24,320x = 38,101 × 38,101
  4. Step 4: Simplify right side
    24,320x = 1,451,686,201
  5. Step 5: Solve for x
    x = 1,451,686,201/24,320
  6. Step 6: Final answer
    x = 59,691.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.