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Finding the Third Proportional to 33,337 and 48,689

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Solution

The third proportional to 33,337 and 48,689 is: 71,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,337 : 48,689 = 48,689 : x
  2. Step 2: Convert to fraction form
    33,337/48,689 = 48,689/x
  3. Step 3: Cross multiply
    33,337x = 48,689 × 48,689
  4. Step 4: Simplify right side
    33,337x = 2,370,618,721
  5. Step 5: Solve for x
    x = 2,370,618,721/33,337
  6. Step 6: Final answer
    x = 71,110.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.