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Finding the Third Proportional to 15,384 and 33,744

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Solution

The third proportional to 15,384 and 33,744 is: 74,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384 : 33,744 = 33,744 : x
  2. Step 2: Convert to fraction form
    15,384/33,744 = 33,744/x
  3. Step 3: Cross multiply
    15,384x = 33,744 × 33,744
  4. Step 4: Simplify right side
    15,384x = 1,138,657,536
  5. Step 5: Solve for x
    x = 1,138,657,536/15,384
  6. Step 6: Final answer
    x = 74,015.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.