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Finding the Third Proportional to 43,400 and 58,960

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Solution

The third proportional to 43,400 and 58,960 is: 80,098.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,400 : 58,960 = 58,960 : x
  2. Step 2: Convert to fraction form
    43,400/58,960 = 58,960/x
  3. Step 3: Cross multiply
    43,400x = 58,960 × 58,960
  4. Step 4: Simplify right side
    43,400x = 3,476,281,600
  5. Step 5: Solve for x
    x = 3,476,281,600/43,400
  6. Step 6: Final answer
    x = 80,098.65

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.