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Finding the Third Proportional to 20,142 and 26,919

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Solution

The third proportional to 20,142 and 26,919 is: 35,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142 : 26,919 = 26,919 : x
  2. Step 2: Convert to fraction form
    20,142/26,919 = 26,919/x
  3. Step 3: Cross multiply
    20,142x = 26,919 × 26,919
  4. Step 4: Simplify right side
    20,142x = 724,632,561
  5. Step 5: Solve for x
    x = 724,632,561/20,142
  6. Step 6: Final answer
    x = 35,976.20

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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.