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Finding the Third Proportional to 15,368 and 33,092

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Solution

The third proportional to 15,368 and 33,092 is: 71,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,368 : 33,092 = 33,092 : x
  2. Step 2: Convert to fraction form
    15,368/33,092 = 33,092/x
  3. Step 3: Cross multiply
    15,368x = 33,092 × 33,092
  4. Step 4: Simplify right side
    15,368x = 1,095,080,464
  5. Step 5: Solve for x
    x = 1,095,080,464/15,368
  6. Step 6: Final answer
    x = 71,257.19

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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.