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Finding the Third Proportional to 34.19 and 51.16

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Solution

The third proportional to 34.19 and 51.16 is: 76.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.19 : 51.16 = 51.16 : x
  2. Step 2: Convert to fraction form
    34.19/51.16 = 51.16/x
  3. Step 3: Cross multiply
    34.19x = 51.16 × 51.16
  4. Step 4: Simplify right side
    34.19x = 2,616.96
  5. Step 5: Solve for x
    x = 2,616.96/34.19
  6. Step 6: Final answer
    x = 76.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.