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Finding the Third Proportional to 38,033.30 and 79,996.36

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Solution

The third proportional to 38,033.30 and 79,996.36 is: 168,258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,033.30 : 79,996.36 = 79,996.36 : x
  2. Step 2: Convert to fraction form
    38,033.30/79,996.36 = 79,996.36/x
  3. Step 3: Cross multiply
    38,033.30x = 79,996.36 × 79,996.36
  4. Step 4: Simplify right side
    38,033.30x = 6,399,417,513.25
  5. Step 5: Solve for x
    x = 6,399,417,513.25/38,033.30
  6. Step 6: Final answer
    x = 168,258.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.