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Finding the Third Proportional to 3,084.61 and 6,769.34

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Solution

The third proportional to 3,084.61 and 6,769.34 is: 14,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.61 : 6,769.34 = 6,769.34 : x
  2. Step 2: Convert to fraction form
    3,084.61/6,769.34 = 6,769.34/x
  3. Step 3: Cross multiply
    3,084.61x = 6,769.34 × 6,769.34
  4. Step 4: Simplify right side
    3,084.61x = 45,823,909.03
  5. Step 5: Solve for x
    x = 45,823,909.03/3,084.61
  6. Step 6: Final answer
    x = 14,855.66

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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.