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Finding the Third Proportional to 25.41 and 55.65

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Solution

The third proportional to 25.41 and 55.65 is: 121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.41 : 55.65 = 55.65 : x
  2. Step 2: Convert to fraction form
    25.41/55.65 = 55.65/x
  3. Step 3: Cross multiply
    25.41x = 55.65 × 55.65
  4. Step 4: Simplify right side
    25.41x = 3,096.41
  5. Step 5: Solve for x
    x = 3,096.41/25.41
  6. Step 6: Final answer
    x = 121.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.