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Finding the Third Proportional to 43.59 and 65.72

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Solution

The third proportional to 43.59 and 65.72 is: 99.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.59 : 65.72 = 65.72 : x
  2. Step 2: Convert to fraction form
    43.59/65.72 = 65.72/x
  3. Step 3: Cross multiply
    43.59x = 65.72 × 65.72
  4. Step 4: Simplify right side
    43.59x = 4,318.95
  5. Step 5: Solve for x
    x = 4,318.95/43.59
  6. Step 6: Final answer
    x = 99.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.