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Finding the Third Proportional to 40.88 and 85.13

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Solution

The third proportional to 40.88 and 85.13 is: 177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.88 : 85.13 = 85.13 : x
  2. Step 2: Convert to fraction form
    40.88/85.13 = 85.13/x
  3. Step 3: Cross multiply
    40.88x = 85.13 × 85.13
  4. Step 4: Simplify right side
    40.88x = 7,246.27
  5. Step 5: Solve for x
    x = 7,246.27/40.88
  6. Step 6: Final answer
    x = 177.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.