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Finding the Third Proportional to 40.10 and 86.47

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Solution

The third proportional to 40.10 and 86.47 is: 186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.10 : 86.47 = 86.47 : x
  2. Step 2: Convert to fraction form
    40.10/86.47 = 86.47/x
  3. Step 3: Cross multiply
    40.10x = 86.47 × 86.47
  4. Step 4: Simplify right side
    40.10x = 7,477.27
  5. Step 5: Solve for x
    x = 7,477.27/40.10
  6. Step 6: Final answer
    x = 186.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.