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Finding the Third Proportional to 24.09 and 36.43

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Solution

The third proportional to 24.09 and 36.43 is: 55.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.09 : 36.43 = 36.43 : x
  2. Step 2: Convert to fraction form
    24.09/36.43 = 36.43/x
  3. Step 3: Cross multiply
    24.09x = 36.43 × 36.43
  4. Step 4: Simplify right side
    24.09x = 1,326.87
  5. Step 5: Solve for x
    x = 1,326.87/24.09
  6. Step 6: Final answer
    x = 55.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.