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Finding the Third Proportional to 24,420 and 37,692

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Solution

The third proportional to 24,420 and 37,692 is: 58,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,420 : 37,692 = 37,692 : x
  2. Step 2: Convert to fraction form
    24,420/37,692 = 37,692/x
  3. Step 3: Cross multiply
    24,420x = 37,692 × 37,692
  4. Step 4: Simplify right side
    24,420x = 1,420,686,864
  5. Step 5: Solve for x
    x = 1,420,686,864/24,420
  6. Step 6: Final answer
    x = 58,177.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.