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Finding the Third Proportional to 22,028 and 34,098

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Solution

The third proportional to 22,028 and 34,098 is: 52,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,028 : 34,098 = 34,098 : x
  2. Step 2: Convert to fraction form
    22,028/34,098 = 34,098/x
  3. Step 3: Cross multiply
    22,028x = 34,098 × 34,098
  4. Step 4: Simplify right side
    22,028x = 1,162,673,604
  5. Step 5: Solve for x
    x = 1,162,673,604/22,028
  6. Step 6: Final answer
    x = 52,781.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.