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Finding the Third Proportional to 33,993 and 74,709

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Solution

The third proportional to 33,993 and 74,709 is: 164,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,993 : 74,709 = 74,709 : x
  2. Step 2: Convert to fraction form
    33,993/74,709 = 74,709/x
  3. Step 3: Cross multiply
    33,993x = 74,709 × 74,709
  4. Step 4: Simplify right side
    33,993x = 5,581,434,681
  5. Step 5: Solve for x
    x = 5,581,434,681/33,993
  6. Step 6: Final answer
    x = 164,193.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.