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Finding the Third Proportional to 33,926.75 and 71,681

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Solution

The third proportional to 33,926.75 and 71,681 is: 151,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,926.75 : 71,681 = 71,681 : x
  2. Step 2: Convert to fraction form
    33,926.75/71,681 = 71,681/x
  3. Step 3: Cross multiply
    33,926.75x = 71,681 × 71,681
  4. Step 4: Simplify right side
    33,926.75x = 5,138,165,761
  5. Step 5: Solve for x
    x = 5,138,165,761/33,926.75
  6. Step 6: Final answer
    x = 151,448.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.