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Finding the Third Proportional to 60.35 and 84.83

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Solution

The third proportional to 60.35 and 84.83 is: 119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.35 : 84.83 = 84.83 : x
  2. Step 2: Convert to fraction form
    60.35/84.83 = 84.83/x
  3. Step 3: Cross multiply
    60.35x = 84.83 × 84.83
  4. Step 4: Simplify right side
    60.35x = 7,196.47
  5. Step 5: Solve for x
    x = 7,196.47/60.35
  6. Step 6: Final answer
    x = 119.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.