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Finding the Third Proportional to 54.13 and 71.50

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Solution

The third proportional to 54.13 and 71.50 is: 94.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.13 : 71.50 = 71.50 : x
  2. Step 2: Convert to fraction form
    54.13/71.50 = 71.50/x
  3. Step 3: Cross multiply
    54.13x = 71.50 × 71.50
  4. Step 4: Simplify right side
    54.13x = 5,112.25
  5. Step 5: Solve for x
    x = 5,112.25/54.13
  6. Step 6: Final answer
    x = 94.45

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.