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Finding the Third Proportional to 26,662 and 38,102

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Solution

The third proportional to 26,662 and 38,102 is: 54,450.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,662 : 38,102 = 38,102 : x
  2. Step 2: Convert to fraction form
    26,662/38,102 = 38,102/x
  3. Step 3: Cross multiply
    26,662x = 38,102 × 38,102
  4. Step 4: Simplify right side
    26,662x = 1,451,762,404
  5. Step 5: Solve for x
    x = 1,451,762,404/26,662
  6. Step 6: Final answer
    x = 54,450.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.