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Finding the Third Proportional to 24,663 and 37,608

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Solution

The third proportional to 24,663 and 37,608 is: 57,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,663 : 37,608 = 37,608 : x
  2. Step 2: Convert to fraction form
    24,663/37,608 = 37,608/x
  3. Step 3: Cross multiply
    24,663x = 37,608 × 37,608
  4. Step 4: Simplify right side
    24,663x = 1,414,361,664
  5. Step 5: Solve for x
    x = 1,414,361,664/24,663
  6. Step 6: Final answer
    x = 57,347.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.