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Finding the Third Proportional to 15,901 and 33,911

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Solution

The third proportional to 15,901 and 33,911 is: 72,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901 : 33,911 = 33,911 : x
  2. Step 2: Convert to fraction form
    15,901/33,911 = 33,911/x
  3. Step 3: Cross multiply
    15,901x = 33,911 × 33,911
  4. Step 4: Simplify right side
    15,901x = 1,149,955,921
  5. Step 5: Solve for x
    x = 1,149,955,921/15,901
  6. Step 6: Final answer
    x = 72,319.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.