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Finding the Third Proportional to 8.68 and 23.86

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Solution

The third proportional to 8.68 and 23.86 is: 65.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.68 : 23.86 = 23.86 : x
  2. Step 2: Convert to fraction form
    8.68/23.86 = 23.86/x
  3. Step 3: Cross multiply
    8.68x = 23.86 × 23.86
  4. Step 4: Simplify right side
    8.68x = 569.46
  5. Step 5: Solve for x
    x = 569.46/8.68
  6. Step 6: Final answer
    x = 65.62

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.