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Finding the Third Proportional to 32,291 and 69,529

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Solution

The third proportional to 32,291 and 69,529 is: 149,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,291 : 69,529 = 69,529 : x
  2. Step 2: Convert to fraction form
    32,291/69,529 = 69,529/x
  3. Step 3: Cross multiply
    32,291x = 69,529 × 69,529
  4. Step 4: Simplify right side
    32,291x = 4,834,281,841
  5. Step 5: Solve for x
    x = 4,834,281,841/32,291
  6. Step 6: Final answer
    x = 149,709.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.