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Finding the Third Proportional to 22,750 and 35,098

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Solution

The third proportional to 22,750 and 35,098 is: 54,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,750 : 35,098 = 35,098 : x
  2. Step 2: Convert to fraction form
    22,750/35,098 = 35,098/x
  3. Step 3: Cross multiply
    22,750x = 35,098 × 35,098
  4. Step 4: Simplify right side
    22,750x = 1,231,869,604
  5. Step 5: Solve for x
    x = 1,231,869,604/22,750
  6. Step 6: Final answer
    x = 54,148.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.