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Finding the Third Proportional to 15,286 and 33,068

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Solution

The third proportional to 15,286 and 33,068 is: 71,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,286 : 33,068 = 33,068 : x
  2. Step 2: Convert to fraction form
    15,286/33,068 = 33,068/x
  3. Step 3: Cross multiply
    15,286x = 33,068 × 33,068
  4. Step 4: Simplify right side
    15,286x = 1,093,492,624
  5. Step 5: Solve for x
    x = 1,093,492,624/15,286
  6. Step 6: Final answer
    x = 71,535.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.