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Finding the Third Proportional to 49,344.19 and 66,665.53

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Solution

The third proportional to 49,344.19 and 66,665.53 is: 90,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,344.19 : 66,665.53 = 66,665.53 : x
  2. Step 2: Convert to fraction form
    49,344.19/66,665.53 = 66,665.53/x
  3. Step 3: Cross multiply
    49,344.19x = 66,665.53 × 66,665.53
  4. Step 4: Simplify right side
    49,344.19x = 4,444,293,056.84
  5. Step 5: Solve for x
    x = 4,444,293,056.84/49,344.19
  6. Step 6: Final answer
    x = 90,067.21

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.