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Finding the Third Proportional to 1,809.09 and 3,959.89

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Solution

The third proportional to 1,809.09 and 3,959.89 is: 8,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.09 : 3,959.89 = 3,959.89 : x
  2. Step 2: Convert to fraction form
    1,809.09/3,959.89 = 3,959.89/x
  3. Step 3: Cross multiply
    1,809.09x = 3,959.89 × 3,959.89
  4. Step 4: Simplify right side
    1,809.09x = 15,680,729.89
  5. Step 5: Solve for x
    x = 15,680,729.89/1,809.09
  6. Step 6: Final answer
    x = 8,667.77

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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.