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Finding the Third Proportional to 44,464 and 67,825

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Solution

The third proportional to 44,464 and 67,825 is: 103,459.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,464 : 67,825 = 67,825 : x
  2. Step 2: Convert to fraction form
    44,464/67,825 = 67,825/x
  3. Step 3: Cross multiply
    44,464x = 67,825 × 67,825
  4. Step 4: Simplify right side
    44,464x = 4,600,230,625
  5. Step 5: Solve for x
    x = 4,600,230,625/44,464
  6. Step 6: Final answer
    x = 103,459.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.