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Finding the Third Proportional to 33,815.25 and 74,008.13

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Solution

The third proportional to 33,815.25 and 74,008.13 is: 161,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,815.25 : 74,008.13 = 74,008.13 : x
  2. Step 2: Convert to fraction form
    33,815.25/74,008.13 = 74,008.13/x
  3. Step 3: Cross multiply
    33,815.25x = 74,008.13 × 74,008.13
  4. Step 4: Simplify right side
    33,815.25x = 5,477,202,566.02
  5. Step 5: Solve for x
    x = 5,477,202,566.02/33,815.25
  6. Step 6: Final answer
    x = 161,974.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.