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Finding the Third Proportional to 24,120 and 37,723

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Solution

The third proportional to 24,120 and 37,723 is: 58,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,120 : 37,723 = 37,723 : x
  2. Step 2: Convert to fraction form
    24,120/37,723 = 37,723/x
  3. Step 3: Cross multiply
    24,120x = 37,723 × 37,723
  4. Step 4: Simplify right side
    24,120x = 1,423,024,729
  5. Step 5: Solve for x
    x = 1,423,024,729/24,120
  6. Step 6: Final answer
    x = 58,997.71

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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.