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Finding the Third Proportional to 43.17 and 64.83

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Solution

The third proportional to 43.17 and 64.83 is: 97.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.17 : 64.83 = 64.83 : x
  2. Step 2: Convert to fraction form
    43.17/64.83 = 64.83/x
  3. Step 3: Cross multiply
    43.17x = 64.83 × 64.83
  4. Step 4: Simplify right side
    43.17x = 4,202.69
  5. Step 5: Solve for x
    x = 4,202.69/43.17
  6. Step 6: Final answer
    x = 97.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.