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Finding the Third Proportional to 17,985.25 and 36,684.25

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Solution

The third proportional to 17,985.25 and 36,684.25 is: 74,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985.25 : 36,684.25 = 36,684.25 : x
  2. Step 2: Convert to fraction form
    17,985.25/36,684.25 = 36,684.25/x
  3. Step 3: Cross multiply
    17,985.25x = 36,684.25 × 36,684.25
  4. Step 4: Simplify right side
    17,985.25x = 1,345,734,198.06
  5. Step 5: Solve for x
    x = 1,345,734,198.06/17,985.25
  6. Step 6: Final answer
    x = 74,824.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.