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Finding the Third Proportional to 37,275.75 and 74,517.75

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Solution

The third proportional to 37,275.75 and 74,517.75 is: 148,968.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,275.75 : 74,517.75 = 74,517.75 : x
  2. Step 2: Convert to fraction form
    37,275.75/74,517.75 = 74,517.75/x
  3. Step 3: Cross multiply
    37,275.75x = 74,517.75 × 74,517.75
  4. Step 4: Simplify right side
    37,275.75x = 5,552,895,065.06
  5. Step 5: Solve for x
    x = 5,552,895,065.06/37,275.75
  6. Step 6: Final answer
    x = 148,968.03

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.