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Finding the Third Proportional to 20,612 and 37,128

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Solution

The third proportional to 20,612 and 37,128 is: 66,877.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,612 : 37,128 = 37,128 : x
  2. Step 2: Convert to fraction form
    20,612/37,128 = 37,128/x
  3. Step 3: Cross multiply
    20,612x = 37,128 × 37,128
  4. Step 4: Simplify right side
    20,612x = 1,378,488,384
  5. Step 5: Solve for x
    x = 1,378,488,384/20,612
  6. Step 6: Final answer
    x = 66,877.95

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.