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Finding the Third Proportional to 43,884 and 63,834

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Solution

The third proportional to 43,884 and 63,834 is: 92,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,884 : 63,834 = 63,834 : x
  2. Step 2: Convert to fraction form
    43,884/63,834 = 63,834/x
  3. Step 3: Cross multiply
    43,884x = 63,834 × 63,834
  4. Step 4: Simplify right side
    43,884x = 4,074,779,556
  5. Step 5: Solve for x
    x = 4,074,779,556/43,884
  6. Step 6: Final answer
    x = 92,853.42

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.