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Finding the Third Proportional to 24.55 and 51.14

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Solution

The third proportional to 24.55 and 51.14 is: 106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.55 : 51.14 = 51.14 : x
  2. Step 2: Convert to fraction form
    24.55/51.14 = 51.14/x
  3. Step 3: Cross multiply
    24.55x = 51.14 × 51.14
  4. Step 4: Simplify right side
    24.55x = 2,615.21
  5. Step 5: Solve for x
    x = 2,615.21/24.55
  6. Step 6: Final answer
    x = 106.52

Related Problems

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.