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Finding the Third Proportional to 41.77 and 98.40

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Solution

The third proportional to 41.77 and 98.40 is: 231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.77 : 98.40 = 98.40 : x
  2. Step 2: Convert to fraction form
    41.77/98.40 = 98.40/x
  3. Step 3: Cross multiply
    41.77x = 98.40 × 98.40
  4. Step 4: Simplify right side
    41.77x = 9,683.02
  5. Step 5: Solve for x
    x = 9,683.02/41.77
  6. Step 6: Final answer
    x = 231.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.