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Finding the Third Proportional to 24.69 and 39.09

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Solution

The third proportional to 24.69 and 39.09 is: 61.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.69 : 39.09 = 39.09 : x
  2. Step 2: Convert to fraction form
    24.69/39.09 = 39.09/x
  3. Step 3: Cross multiply
    24.69x = 39.09 × 39.09
  4. Step 4: Simplify right side
    24.69x = 1,528.32
  5. Step 5: Solve for x
    x = 1,528.32/24.69
  6. Step 6: Final answer
    x = 61.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.