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Finding the Third Proportional to 12.59 and 27.33

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Solution

The third proportional to 12.59 and 27.33 is: 59.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.59 : 27.33 = 27.33 : x
  2. Step 2: Convert to fraction form
    12.59/27.33 = 27.33/x
  3. Step 3: Cross multiply
    12.59x = 27.33 × 27.33
  4. Step 4: Simplify right side
    12.59x = 746.67
  5. Step 5: Solve for x
    x = 746.67/12.59
  6. Step 6: Final answer
    x = 59.28

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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.