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Finding the Third Proportional to 24,829 and 43,825

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Solution

The third proportional to 24,829 and 43,825 is: 77,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829 : 43,825 = 43,825 : x
  2. Step 2: Convert to fraction form
    24,829/43,825 = 43,825/x
  3. Step 3: Cross multiply
    24,829x = 43,825 × 43,825
  4. Step 4: Simplify right side
    24,829x = 1,920,630,625
  5. Step 5: Solve for x
    x = 1,920,630,625/24,829
  6. Step 6: Final answer
    x = 77,354.33

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.