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Finding the Third Proportional to 38,581.88 and 57,975.47

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Solution

The third proportional to 38,581.88 and 57,975.47 is: 87,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,581.88 : 57,975.47 = 57,975.47 : x
  2. Step 2: Convert to fraction form
    38,581.88/57,975.47 = 57,975.47/x
  3. Step 3: Cross multiply
    38,581.88x = 57,975.47 × 57,975.47
  4. Step 4: Simplify right side
    38,581.88x = 3,361,154,976.78
  5. Step 5: Solve for x
    x = 3,361,154,976.78/38,581.88
  6. Step 6: Final answer
    x = 87,117.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.