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Finding the Third Proportional to 27.16 and 57.14

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Solution

The third proportional to 27.16 and 57.14 is: 120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.16 : 57.14 = 57.14 : x
  2. Step 2: Convert to fraction form
    27.16/57.14 = 57.14/x
  3. Step 3: Cross multiply
    27.16x = 57.14 × 57.14
  4. Step 4: Simplify right side
    27.16x = 3,265.05
  5. Step 5: Solve for x
    x = 3,265.05/27.16
  6. Step 6: Final answer
    x = 120.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.