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Finding the Third Proportional to 33,643 and 49,813

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Solution

The third proportional to 33,643 and 49,813 is: 73,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643 : 49,813 = 49,813 : x
  2. Step 2: Convert to fraction form
    33,643/49,813 = 49,813/x
  3. Step 3: Cross multiply
    33,643x = 49,813 × 49,813
  4. Step 4: Simplify right side
    33,643x = 2,481,334,969
  5. Step 5: Solve for x
    x = 2,481,334,969/33,643
  6. Step 6: Final answer
    x = 73,754.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.