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Finding the Third Proportional to 24,118 and 37,720

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Solution

The third proportional to 24,118 and 37,720 is: 58,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,118 : 37,720 = 37,720 : x
  2. Step 2: Convert to fraction form
    24,118/37,720 = 37,720/x
  3. Step 3: Cross multiply
    24,118x = 37,720 × 37,720
  4. Step 4: Simplify right side
    24,118x = 1,422,798,400
  5. Step 5: Solve for x
    x = 1,422,798,400/24,118
  6. Step 6: Final answer
    x = 58,993.22

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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.