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Finding the Third Proportional to 24.33 and 52.64

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Solution

The third proportional to 24.33 and 52.64 is: 113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.33 : 52.64 = 52.64 : x
  2. Step 2: Convert to fraction form
    24.33/52.64 = 52.64/x
  3. Step 3: Cross multiply
    24.33x = 52.64 × 52.64
  4. Step 4: Simplify right side
    24.33x = 2,771.04
  5. Step 5: Solve for x
    x = 2,771.04/24.33
  6. Step 6: Final answer
    x = 113.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.