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Finding the Third Proportional to 37,207.50 and 56,684.75

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Solution

The third proportional to 37,207.50 and 56,684.75 is: 86,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,207.50 : 56,684.75 = 56,684.75 : x
  2. Step 2: Convert to fraction form
    37,207.50/56,684.75 = 56,684.75/x
  3. Step 3: Cross multiply
    37,207.50x = 56,684.75 × 56,684.75
  4. Step 4: Simplify right side
    37,207.50x = 3,213,160,882.56
  5. Step 5: Solve for x
    x = 3,213,160,882.56/37,207.50
  6. Step 6: Final answer
    x = 86,357.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.