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Finding the Third Proportional to 43.03 and 91.76

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Solution

The third proportional to 43.03 and 91.76 is: 195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.03 : 91.76 = 91.76 : x
  2. Step 2: Convert to fraction form
    43.03/91.76 = 91.76/x
  3. Step 3: Cross multiply
    43.03x = 91.76 × 91.76
  4. Step 4: Simplify right side
    43.03x = 8,419.50
  5. Step 5: Solve for x
    x = 8,419.50/43.03
  6. Step 6: Final answer
    x = 195.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.