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Finding the Third Proportional to 24.83 and 39.05

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Solution

The third proportional to 24.83 and 39.05 is: 61.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.83 : 39.05 = 39.05 : x
  2. Step 2: Convert to fraction form
    24.83/39.05 = 39.05/x
  3. Step 3: Cross multiply
    24.83x = 39.05 × 39.05
  4. Step 4: Simplify right side
    24.83x = 1,524.85
  5. Step 5: Solve for x
    x = 1,524.85/24.83
  6. Step 6: Final answer
    x = 61.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.