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Finding the Third Proportional to 34,192.25 and 54,937.75

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Solution

The third proportional to 34,192.25 and 54,937.75 is: 88,270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,192.25 : 54,937.75 = 54,937.75 : x
  2. Step 2: Convert to fraction form
    34,192.25/54,937.75 = 54,937.75/x
  3. Step 3: Cross multiply
    34,192.25x = 54,937.75 × 54,937.75
  4. Step 4: Simplify right side
    34,192.25x = 3,018,156,375.06
  5. Step 5: Solve for x
    x = 3,018,156,375.06/34,192.25
  6. Step 6: Final answer
    x = 88,270.19

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.