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Finding the Third Proportional to 43.84 and 57.19

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Solution

The third proportional to 43.84 and 57.19 is: 74.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.84 : 57.19 = 57.19 : x
  2. Step 2: Convert to fraction form
    43.84/57.19 = 57.19/x
  3. Step 3: Cross multiply
    43.84x = 57.19 × 57.19
  4. Step 4: Simplify right side
    43.84x = 3,270.41
  5. Step 5: Solve for x
    x = 3,270.41/43.84
  6. Step 6: Final answer
    x = 74.59

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.