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Finding the Third Proportional to 20,143 and 23,287

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Solution

The third proportional to 20,143 and 23,287 is: 26,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143 : 23,287 = 23,287 : x
  2. Step 2: Convert to fraction form
    20,143/23,287 = 23,287/x
  3. Step 3: Cross multiply
    20,143x = 23,287 × 23,287
  4. Step 4: Simplify right side
    20,143x = 542,284,369
  5. Step 5: Solve for x
    x = 542,284,369/20,143
  6. Step 6: Final answer
    x = 26,921.73

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.