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Finding the Third Proportional to 12.59 and 27.04

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Solution

The third proportional to 12.59 and 27.04 is: 58.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.59 : 27.04 = 27.04 : x
  2. Step 2: Convert to fraction form
    12.59/27.04 = 27.04/x
  3. Step 3: Cross multiply
    12.59x = 27.04 × 27.04
  4. Step 4: Simplify right side
    12.59x = 730.90
  5. Step 5: Solve for x
    x = 730.90/12.59
  6. Step 6: Final answer
    x = 58.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.