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Finding the Third Proportional to 21,626 and 32,882

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Solution

The third proportional to 21,626 and 32,882 is: 49,996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,626 : 32,882 = 32,882 : x
  2. Step 2: Convert to fraction form
    21,626/32,882 = 32,882/x
  3. Step 3: Cross multiply
    21,626x = 32,882 × 32,882
  4. Step 4: Simplify right side
    21,626x = 1,081,225,924
  5. Step 5: Solve for x
    x = 1,081,225,924/21,626
  6. Step 6: Final answer
    x = 49,996.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.