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Finding the Third Proportional to 20,283 and 27,131

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Solution

The third proportional to 20,283 and 27,131 is: 36,291.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283 : 27,131 = 27,131 : x
  2. Step 2: Convert to fraction form
    20,283/27,131 = 27,131/x
  3. Step 3: Cross multiply
    20,283x = 27,131 × 27,131
  4. Step 4: Simplify right side
    20,283x = 736,091,161
  5. Step 5: Solve for x
    x = 736,091,161/20,283
  6. Step 6: Final answer
    x = 36,291.04

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.