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Finding the Third Proportional to 32,982 and 48,744

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Solution

The third proportional to 32,982 and 48,744 is: 72,038.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,982 : 48,744 = 48,744 : x
  2. Step 2: Convert to fraction form
    32,982/48,744 = 48,744/x
  3. Step 3: Cross multiply
    32,982x = 48,744 × 48,744
  4. Step 4: Simplify right side
    32,982x = 2,375,977,536
  5. Step 5: Solve for x
    x = 2,375,977,536/32,982
  6. Step 6: Final answer
    x = 72,038.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.