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Finding the Third Proportional to 2.60 and 5.66

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Solution

The third proportional to 2.60 and 5.66 is: 12.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.60 : 5.66 = 5.66 : x
  2. Step 2: Convert to fraction form
    2.60/5.66 = 5.66/x
  3. Step 3: Cross multiply
    2.60x = 5.66 × 5.66
  4. Step 4: Simplify right side
    2.60x = 32.07
  5. Step 5: Solve for x
    x = 32.07/2.60
  6. Step 6: Final answer
    x = 12.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.