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Finding the Third Proportional to 15,503 and 33,904

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Solution

The third proportional to 15,503 and 33,904 is: 74,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,503 : 33,904 = 33,904 : x
  2. Step 2: Convert to fraction form
    15,503/33,904 = 33,904/x
  3. Step 3: Cross multiply
    15,503x = 33,904 × 33,904
  4. Step 4: Simplify right side
    15,503x = 1,149,481,216
  5. Step 5: Solve for x
    x = 1,149,481,216/15,503
  6. Step 6: Final answer
    x = 74,145.73

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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.