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Finding the Third Proportional to 24.84 and 55.24

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Solution

The third proportional to 24.84 and 55.24 is: 122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.84 : 55.24 = 55.24 : x
  2. Step 2: Convert to fraction form
    24.84/55.24 = 55.24/x
  3. Step 3: Cross multiply
    24.84x = 55.24 × 55.24
  4. Step 4: Simplify right side
    24.84x = 3,051.26
  5. Step 5: Solve for x
    x = 3,051.26/24.84
  6. Step 6: Final answer
    x = 122.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.