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Finding the Third Proportional to 37,615.88 and 57,162.56

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Solution

The third proportional to 37,615.88 and 57,162.56 is: 86,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,615.88 : 57,162.56 = 57,162.56 : x
  2. Step 2: Convert to fraction form
    37,615.88/57,162.56 = 57,162.56/x
  3. Step 3: Cross multiply
    37,615.88x = 57,162.56 × 57,162.56
  4. Step 4: Simplify right side
    37,615.88x = 3,267,558,551.57
  5. Step 5: Solve for x
    x = 3,267,558,551.57/37,615.88
  6. Step 6: Final answer
    x = 86,866.48

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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.