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Finding the Third Proportional to 27.16 and 59.37

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Solution

The third proportional to 27.16 and 59.37 is: 129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.16 : 59.37 = 59.37 : x
  2. Step 2: Convert to fraction form
    27.16/59.37 = 59.37/x
  3. Step 3: Cross multiply
    27.16x = 59.37 × 59.37
  4. Step 4: Simplify right side
    27.16x = 3,524.46
  5. Step 5: Solve for x
    x = 3,524.46/27.16
  6. Step 6: Final answer
    x = 129.75

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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.