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Finding the Third Proportional to 37,643.25 and 55,425.75

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Solution

The third proportional to 37,643.25 and 55,425.75 is: 81,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,643.25 : 55,425.75 = 55,425.75 : x
  2. Step 2: Convert to fraction form
    37,643.25/55,425.75 = 55,425.75/x
  3. Step 3: Cross multiply
    37,643.25x = 55,425.75 × 55,425.75
  4. Step 4: Simplify right side
    37,643.25x = 3,072,013,763.06
  5. Step 5: Solve for x
    x = 3,072,013,763.06/37,643.25
  6. Step 6: Final answer
    x = 81,608.62

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.