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Finding the Third Proportional to 25.86 and 39.46

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Solution

The third proportional to 25.86 and 39.46 is: 60.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.86 : 39.46 = 39.46 : x
  2. Step 2: Convert to fraction form
    25.86/39.46 = 39.46/x
  3. Step 3: Cross multiply
    25.86x = 39.46 × 39.46
  4. Step 4: Simplify right side
    25.86x = 1,557.48
  5. Step 5: Solve for x
    x = 1,557.48/25.86
  6. Step 6: Final answer
    x = 60.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.