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Finding the Third Proportional to 25.52 and 38.46

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Solution

The third proportional to 25.52 and 38.46 is: 57.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.52 : 38.46 = 38.46 : x
  2. Step 2: Convert to fraction form
    25.52/38.46 = 38.46/x
  3. Step 3: Cross multiply
    25.52x = 38.46 × 38.46
  4. Step 4: Simplify right side
    25.52x = 1,479.24
  5. Step 5: Solve for x
    x = 1,479.24/25.52
  6. Step 6: Final answer
    x = 57.96

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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.