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Finding the Third Proportional to 43.93 and 96.40

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Solution

The third proportional to 43.93 and 96.40 is: 211.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.93 : 96.40 = 96.40 : x
  2. Step 2: Convert to fraction form
    43.93/96.40 = 96.40/x
  3. Step 3: Cross multiply
    43.93x = 96.40 × 96.40
  4. Step 4: Simplify right side
    43.93x = 9,293.53
  5. Step 5: Solve for x
    x = 9,293.53/43.93
  6. Step 6: Final answer
    x = 211.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.