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Finding the Third Proportional to 20,032 and 27,124

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Solution

The third proportional to 20,032 and 27,124 is: 36,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032 : 27,124 = 27,124 : x
  2. Step 2: Convert to fraction form
    20,032/27,124 = 27,124/x
  3. Step 3: Cross multiply
    20,032x = 27,124 × 27,124
  4. Step 4: Simplify right side
    20,032x = 735,711,376
  5. Step 5: Solve for x
    x = 735,711,376/20,032
  6. Step 6: Final answer
    x = 36,726.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.