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Finding the Third Proportional to 33,922.13 and 74,611.13

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Solution

The third proportional to 33,922.13 and 74,611.13 is: 164,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,922.13 : 74,611.13 = 74,611.13 : x
  2. Step 2: Convert to fraction form
    33,922.13/74,611.13 = 74,611.13/x
  3. Step 3: Cross multiply
    33,922.13x = 74,611.13 × 74,611.13
  4. Step 4: Simplify right side
    33,922.13x = 5,566,819,973.77
  5. Step 5: Solve for x
    x = 5,566,819,973.77/33,922.13
  6. Step 6: Final answer
    x = 164,105.87

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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.