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Finding the Third Proportional to 5.86 and 12.65

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Solution

The third proportional to 5.86 and 12.65 is: 27.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.86 : 12.65 = 12.65 : x
  2. Step 2: Convert to fraction form
    5.86/12.65 = 12.65/x
  3. Step 3: Cross multiply
    5.86x = 12.65 × 12.65
  4. Step 4: Simplify right side
    5.86x = 160.08
  5. Step 5: Solve for x
    x = 160.08/5.86
  6. Step 6: Final answer
    x = 27.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.