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Finding the Third Proportional to 15,633 and 33,759

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Solution

The third proportional to 15,633 and 33,759 is: 72,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633 : 33,759 = 33,759 : x
  2. Step 2: Convert to fraction form
    15,633/33,759 = 33,759/x
  3. Step 3: Cross multiply
    15,633x = 33,759 × 33,759
  4. Step 4: Simplify right side
    15,633x = 1,139,670,081
  5. Step 5: Solve for x
    x = 1,139,670,081/15,633
  6. Step 6: Final answer
    x = 72,901.56

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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.