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Finding the Third Proportional to 11.65 and 25.47

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Solution

The third proportional to 11.65 and 25.47 is: 55.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.65 : 25.47 = 25.47 : x
  2. Step 2: Convert to fraction form
    11.65/25.47 = 25.47/x
  3. Step 3: Cross multiply
    11.65x = 25.47 × 25.47
  4. Step 4: Simplify right side
    11.65x = 648.76
  5. Step 5: Solve for x
    x = 648.76/11.65
  6. Step 6: Final answer
    x = 55.67

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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.