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Finding the Third Proportional to 24.81 and 44.92

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Solution

The third proportional to 24.81 and 44.92 is: 81.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.81 : 44.92 = 44.92 : x
  2. Step 2: Convert to fraction form
    24.81/44.92 = 44.92/x
  3. Step 3: Cross multiply
    24.81x = 44.92 × 44.92
  4. Step 4: Simplify right side
    24.81x = 2,018.22
  5. Step 5: Solve for x
    x = 2,018.22/24.81
  6. Step 6: Final answer
    x = 81.35

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.