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Finding the Third Proportional to 58.78 and 80.44

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Solution

The third proportional to 58.78 and 80.44 is: 110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.78 : 80.44 = 80.44 : x
  2. Step 2: Convert to fraction form
    58.78/80.44 = 80.44/x
  3. Step 3: Cross multiply
    58.78x = 80.44 × 80.44
  4. Step 4: Simplify right side
    58.78x = 6,470.19
  5. Step 5: Solve for x
    x = 6,470.19/58.78
  6. Step 6: Final answer
    x = 110.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.