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Finding the Third Proportional to 24,016 and 37,997

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Solution

The third proportional to 24,016 and 37,997 is: 60,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,016 : 37,997 = 37,997 : x
  2. Step 2: Convert to fraction form
    24,016/37,997 = 37,997/x
  3. Step 3: Cross multiply
    24,016x = 37,997 × 37,997
  4. Step 4: Simplify right side
    24,016x = 1,443,772,009
  5. Step 5: Solve for x
    x = 1,443,772,009/24,016
  6. Step 6: Final answer
    x = 60,117.09

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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.