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Finding the Third Proportional to 30,668 and 48,926

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Solution

The third proportional to 30,668 and 48,926 is: 78,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668 : 48,926 = 48,926 : x
  2. Step 2: Convert to fraction form
    30,668/48,926 = 48,926/x
  3. Step 3: Cross multiply
    30,668x = 48,926 × 48,926
  4. Step 4: Simplify right side
    30,668x = 2,393,753,476
  5. Step 5: Solve for x
    x = 2,393,753,476/30,668
  6. Step 6: Final answer
    x = 78,053.78

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.