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Finding the Third Proportional to 37,721.25 and 52,863.75

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Solution

The third proportional to 37,721.25 and 52,863.75 is: 74,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,721.25 : 52,863.75 = 52,863.75 : x
  2. Step 2: Convert to fraction form
    37,721.25/52,863.75 = 52,863.75/x
  3. Step 3: Cross multiply
    37,721.25x = 52,863.75 × 52,863.75
  4. Step 4: Simplify right side
    37,721.25x = 2,794,576,064.06
  5. Step 5: Solve for x
    x = 2,794,576,064.06/37,721.25
  6. Step 6: Final answer
    x = 74,084.93

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.