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Finding the Third Proportional to 24.19 and 49.88

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Solution

The third proportional to 24.19 and 49.88 is: 102.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.19 : 49.88 = 49.88 : x
  2. Step 2: Convert to fraction form
    24.19/49.88 = 49.88/x
  3. Step 3: Cross multiply
    24.19x = 49.88 × 49.88
  4. Step 4: Simplify right side
    24.19x = 2,487.52
  5. Step 5: Solve for x
    x = 2,487.52/24.19
  6. Step 6: Final answer
    x = 102.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.