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Finding the Third Proportional to 43,384 and 58,932

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Solution

The third proportional to 43,384 and 58,932 is: 80,052.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,384 : 58,932 = 58,932 : x
  2. Step 2: Convert to fraction form
    43,384/58,932 = 58,932/x
  3. Step 3: Cross multiply
    43,384x = 58,932 × 58,932
  4. Step 4: Simplify right side
    43,384x = 3,472,980,624
  5. Step 5: Solve for x
    x = 3,472,980,624/43,384
  6. Step 6: Final answer
    x = 80,052.11

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Why These Related Problems?

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