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Finding the Third Proportional to 54.19 and 61.69

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Solution

The third proportional to 54.19 and 61.69 is: 70.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.19 : 61.69 = 61.69 : x
  2. Step 2: Convert to fraction form
    54.19/61.69 = 61.69/x
  3. Step 3: Cross multiply
    54.19x = 61.69 × 61.69
  4. Step 4: Simplify right side
    54.19x = 3,805.35
  5. Step 5: Solve for x
    x = 3,805.35/54.19
  6. Step 6: Final answer
    x = 70.23

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.