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Finding the Third Proportional to 43,221 and 63,837

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Solution

The third proportional to 43,221 and 63,837 is: 94,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,221 : 63,837 = 63,837 : x
  2. Step 2: Convert to fraction form
    43,221/63,837 = 63,837/x
  3. Step 3: Cross multiply
    43,221x = 63,837 × 63,837
  4. Step 4: Simplify right side
    43,221x = 4,075,162,569
  5. Step 5: Solve for x
    x = 4,075,162,569/43,221
  6. Step 6: Final answer
    x = 94,286.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.