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Finding the Third Proportional to 24,670 and 36,857

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Solution

The third proportional to 24,670 and 36,857 is: 55,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,670 : 36,857 = 36,857 : x
  2. Step 2: Convert to fraction form
    24,670/36,857 = 36,857/x
  3. Step 3: Cross multiply
    24,670x = 36,857 × 36,857
  4. Step 4: Simplify right side
    24,670x = 1,358,438,449
  5. Step 5: Solve for x
    x = 1,358,438,449/24,670
  6. Step 6: Final answer
    x = 55,064.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.