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Finding the Third Proportional to 24,550 and 38,405

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Solution

The third proportional to 24,550 and 38,405 is: 60,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,550 : 38,405 = 38,405 : x
  2. Step 2: Convert to fraction form
    24,550/38,405 = 38,405/x
  3. Step 3: Cross multiply
    24,550x = 38,405 × 38,405
  4. Step 4: Simplify right side
    24,550x = 1,474,944,025
  5. Step 5: Solve for x
    x = 1,474,944,025/24,550
  6. Step 6: Final answer
    x = 60,079.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.