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Finding the Third Proportional to 23.61 and 54.16

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Solution

The third proportional to 23.61 and 54.16 is: 124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.61 : 54.16 = 54.16 : x
  2. Step 2: Convert to fraction form
    23.61/54.16 = 54.16/x
  3. Step 3: Cross multiply
    23.61x = 54.16 × 54.16
  4. Step 4: Simplify right side
    23.61x = 2,933.04
  5. Step 5: Solve for x
    x = 2,933.04/23.61
  6. Step 6: Final answer
    x = 124.24

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.