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Finding the Third Proportional to 53.91 and 61.31

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Solution

The third proportional to 53.91 and 61.31 is: 69.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.91 : 61.31 = 61.31 : x
  2. Step 2: Convert to fraction form
    53.91/61.31 = 61.31/x
  3. Step 3: Cross multiply
    53.91x = 61.31 × 61.31
  4. Step 4: Simplify right side
    53.91x = 3,759.22
  5. Step 5: Solve for x
    x = 3,759.22/53.91
  6. Step 6: Final answer
    x = 69.74

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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.