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Finding the Third Proportional to 40.71 and 87.54

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Solution

The third proportional to 40.71 and 87.54 is: 188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.71 : 87.54 = 87.54 : x
  2. Step 2: Convert to fraction form
    40.71/87.54 = 87.54/x
  3. Step 3: Cross multiply
    40.71x = 87.54 × 87.54
  4. Step 4: Simplify right side
    40.71x = 7,663.09
  5. Step 5: Solve for x
    x = 7,663.09/40.71
  6. Step 6: Final answer
    x = 188.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.