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Finding the Third Proportional to 44,736 and 71,920

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Solution

The third proportional to 44,736 and 71,920 is: 115,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,736 : 71,920 = 71,920 : x
  2. Step 2: Convert to fraction form
    44,736/71,920 = 71,920/x
  3. Step 3: Cross multiply
    44,736x = 71,920 × 71,920
  4. Step 4: Simplify right side
    44,736x = 5,172,486,400
  5. Step 5: Solve for x
    x = 5,172,486,400/44,736
  6. Step 6: Final answer
    x = 115,622.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.