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Finding the Third Proportional to 24,112 and 37,712

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Solution

The third proportional to 24,112 and 37,712 is: 58,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,112 : 37,712 = 37,712 : x
  2. Step 2: Convert to fraction form
    24,112/37,712 = 37,712/x
  3. Step 3: Cross multiply
    24,112x = 37,712 × 37,712
  4. Step 4: Simplify right side
    24,112x = 1,422,194,944
  5. Step 5: Solve for x
    x = 1,422,194,944/24,112
  6. Step 6: Final answer
    x = 58,982.87

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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.