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Finding the Third Proportional to 5.77 and 12.61

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Solution

The third proportional to 5.77 and 12.61 is: 27.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.77 : 12.61 = 12.61 : x
  2. Step 2: Convert to fraction form
    5.77/12.61 = 12.61/x
  3. Step 3: Cross multiply
    5.77x = 12.61 × 12.61
  4. Step 4: Simplify right side
    5.77x = 159.00
  5. Step 5: Solve for x
    x = 159.00/5.77
  6. Step 6: Final answer
    x = 27.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.