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Finding the Third Proportional to 43.84 and 51.88

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Solution

The third proportional to 43.84 and 51.88 is: 61.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.84 : 51.88 = 51.88 : x
  2. Step 2: Convert to fraction form
    43.84/51.88 = 51.88/x
  3. Step 3: Cross multiply
    43.84x = 51.88 × 51.88
  4. Step 4: Simplify right side
    43.84x = 2,691.02
  5. Step 5: Solve for x
    x = 2,691.02/43.84
  6. Step 6: Final answer
    x = 61.38

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.