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Finding the Third Proportional to 24.54 and 53.93

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Solution

The third proportional to 24.54 and 53.93 is: 118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.54 : 53.93 = 53.93 : x
  2. Step 2: Convert to fraction form
    24.54/53.93 = 53.93/x
  3. Step 3: Cross multiply
    24.54x = 53.93 × 53.93
  4. Step 4: Simplify right side
    24.54x = 2,908.41
  5. Step 5: Solve for x
    x = 2,908.41/24.54
  6. Step 6: Final answer
    x = 118.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.