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Finding the Third Proportional to 34.13 and 50.16

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Solution

The third proportional to 34.13 and 50.16 is: 73.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.13 : 50.16 = 50.16 : x
  2. Step 2: Convert to fraction form
    34.13/50.16 = 50.16/x
  3. Step 3: Cross multiply
    34.13x = 50.16 × 50.16
  4. Step 4: Simplify right side
    34.13x = 2,515.65
  5. Step 5: Solve for x
    x = 2,515.65/34.13
  6. Step 6: Final answer
    x = 73.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.