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Finding the Third Proportional to 15,536 and 33,269

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Solution

The third proportional to 15,536 and 33,269 is: 71,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536 : 33,269 = 33,269 : x
  2. Step 2: Convert to fraction form
    15,536/33,269 = 33,269/x
  3. Step 3: Cross multiply
    15,536x = 33,269 × 33,269
  4. Step 4: Simplify right side
    15,536x = 1,106,826,361
  5. Step 5: Solve for x
    x = 1,106,826,361/15,536
  6. Step 6: Final answer
    x = 71,242.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.