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Finding the Third Proportional to 29,382.75 and 42,843.38

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Solution

The third proportional to 29,382.75 and 42,843.38 is: 62,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,382.75 : 42,843.38 = 42,843.38 : x
  2. Step 2: Convert to fraction form
    29,382.75/42,843.38 = 42,843.38/x
  3. Step 3: Cross multiply
    29,382.75x = 42,843.38 × 42,843.38
  4. Step 4: Simplify right side
    29,382.75x = 1,835,554,781.39
  5. Step 5: Solve for x
    x = 1,835,554,781.39/29,382.75
  6. Step 6: Final answer
    x = 62,470.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.