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Finding the Third Proportional to 27.16 and 58.59

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Solution

The third proportional to 27.16 and 58.59 is: 126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.16 : 58.59 = 58.59 : x
  2. Step 2: Convert to fraction form
    27.16/58.59 = 58.59/x
  3. Step 3: Cross multiply
    27.16x = 58.59 × 58.59
  4. Step 4: Simplify right side
    27.16x = 3,432.54
  5. Step 5: Solve for x
    x = 3,432.54/27.16
  6. Step 6: Final answer
    x = 126.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.