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Finding the Third Proportional to 43,132 and 59,394

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Solution

The third proportional to 43,132 and 59,394 is: 81,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,132 : 59,394 = 59,394 : x
  2. Step 2: Convert to fraction form
    43,132/59,394 = 59,394/x
  3. Step 3: Cross multiply
    43,132x = 59,394 × 59,394
  4. Step 4: Simplify right side
    43,132x = 3,527,647,236
  5. Step 5: Solve for x
    x = 3,527,647,236/43,132
  6. Step 6: Final answer
    x = 81,787.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.