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Finding the Third Proportional to 48,630 and 72,837

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Solution

The third proportional to 48,630 and 72,837 is: 109,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,630 : 72,837 = 72,837 : x
  2. Step 2: Convert to fraction form
    48,630/72,837 = 72,837/x
  3. Step 3: Cross multiply
    48,630x = 72,837 × 72,837
  4. Step 4: Simplify right side
    48,630x = 5,305,228,569
  5. Step 5: Solve for x
    x = 5,305,228,569/48,630
  6. Step 6: Final answer
    x = 109,093.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.