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Finding the Third Proportional to 5.79 and 12.60

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Solution

The third proportional to 5.79 and 12.60 is: 27.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.79 : 12.60 = 12.60 : x
  2. Step 2: Convert to fraction form
    5.79/12.60 = 12.60/x
  3. Step 3: Cross multiply
    5.79x = 12.60 × 12.60
  4. Step 4: Simplify right side
    5.79x = 158.85
  5. Step 5: Solve for x
    x = 158.85/5.79
  6. Step 6: Final answer
    x = 27.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.