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Finding the Third Proportional to 44,134.88 and 66,617.44

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Solution

The third proportional to 44,134.88 and 66,617.44 is: 100,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,134.88 : 66,617.44 = 66,617.44 : x
  2. Step 2: Convert to fraction form
    44,134.88/66,617.44 = 66,617.44/x
  3. Step 3: Cross multiply
    44,134.88x = 66,617.44 × 66,617.44
  4. Step 4: Simplify right side
    44,134.88x = 4,437,882,979.07
  5. Step 5: Solve for x
    x = 4,437,882,979.07/44,134.88
  6. Step 6: Final answer
    x = 100,552.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.