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Finding the Third Proportional to 49.59 and 80.06

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Solution

The third proportional to 49.59 and 80.06 is: 129.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.59 : 80.06 = 80.06 : x
  2. Step 2: Convert to fraction form
    49.59/80.06 = 80.06/x
  3. Step 3: Cross multiply
    49.59x = 80.06 × 80.06
  4. Step 4: Simplify right side
    49.59x = 6,410.00
  5. Step 5: Solve for x
    x = 6,410.00/49.59
  6. Step 6: Final answer
    x = 129.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.