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Finding the Third Proportional to 24,008 and 37,982

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Solution

The third proportional to 24,008 and 37,982 is: 60,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,008 : 37,982 = 37,982 : x
  2. Step 2: Convert to fraction form
    24,008/37,982 = 37,982/x
  3. Step 3: Cross multiply
    24,008x = 37,982 × 37,982
  4. Step 4: Simplify right side
    24,008x = 1,442,632,324
  5. Step 5: Solve for x
    x = 1,442,632,324/24,008
  6. Step 6: Final answer
    x = 60,089.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.