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Finding the Third Proportional to 12.66 and 86.06

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Solution

The third proportional to 12.66 and 86.06 is: 585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.66 : 86.06 = 86.06 : x
  2. Step 2: Convert to fraction form
    12.66/86.06 = 86.06/x
  3. Step 3: Cross multiply
    12.66x = 86.06 × 86.06
  4. Step 4: Simplify right side
    12.66x = 7,406.75
  5. Step 5: Solve for x
    x = 7,406.75/12.66
  6. Step 6: Final answer
    x = 585.23

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Why These Related Problems?

These problems maintain the same ratio (6.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.