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Finding the Third Proportional to 8.65 and 14.13

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Solution

The third proportional to 8.65 and 14.13 is: 23.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.65 : 14.13 = 14.13 : x
  2. Step 2: Convert to fraction form
    8.65/14.13 = 14.13/x
  3. Step 3: Cross multiply
    8.65x = 14.13 × 14.13
  4. Step 4: Simplify right side
    8.65x = 199.74
  5. Step 5: Solve for x
    x = 199.74/8.65
  6. Step 6: Final answer
    x = 23.10

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.