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Finding the Third Proportional to 49.08 and 91.69

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Solution

The third proportional to 49.08 and 91.69 is: 171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.08 : 91.69 = 91.69 : x
  2. Step 2: Convert to fraction form
    49.08/91.69 = 91.69/x
  3. Step 3: Cross multiply
    49.08x = 91.69 × 91.69
  4. Step 4: Simplify right side
    49.08x = 8,406.60
  5. Step 5: Solve for x
    x = 8,406.60/49.08
  6. Step 6: Final answer
    x = 171.29

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.