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Finding the Third Proportional to 24.38 and 28.50

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Solution

The third proportional to 24.38 and 28.50 is: 33.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.38 : 28.50 = 28.50 : x
  2. Step 2: Convert to fraction form
    24.38/28.50 = 28.50/x
  3. Step 3: Cross multiply
    24.38x = 28.50 × 28.50
  4. Step 4: Simplify right side
    24.38x = 812.25
  5. Step 5: Solve for x
    x = 812.25/24.38
  6. Step 6: Final answer
    x = 33.32

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.