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Finding the Third Proportional to 27,442.13 and 41,168.25

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Solution

The third proportional to 27,442.13 and 41,168.25 is: 61,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442.13 : 41,168.25 = 41,168.25 : x
  2. Step 2: Convert to fraction form
    27,442.13/41,168.25 = 41,168.25/x
  3. Step 3: Cross multiply
    27,442.13x = 41,168.25 × 41,168.25
  4. Step 4: Simplify right side
    27,442.13x = 1,694,824,808.06
  5. Step 5: Solve for x
    x = 1,694,824,808.06/27,442.13
  6. Step 6: Final answer
    x = 61,759.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.