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Finding the Third Proportional to 12.58 and 27.76

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Solution

The third proportional to 12.58 and 27.76 is: 61.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.58 : 27.76 = 27.76 : x
  2. Step 2: Convert to fraction form
    12.58/27.76 = 27.76/x
  3. Step 3: Cross multiply
    12.58x = 27.76 × 27.76
  4. Step 4: Simplify right side
    12.58x = 770.88
  5. Step 5: Solve for x
    x = 770.88/12.58
  6. Step 6: Final answer
    x = 61.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.