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Finding the Third Proportional to 3,084.01 and 6,753.69

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Solution

The third proportional to 3,084.01 and 6,753.69 is: 14,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.01 : 6,753.69 = 6,753.69 : x
  2. Step 2: Convert to fraction form
    3,084.01/6,753.69 = 6,753.69/x
  3. Step 3: Cross multiply
    3,084.01x = 6,753.69 × 6,753.69
  4. Step 4: Simplify right side
    3,084.01x = 45,612,347.61
  5. Step 5: Solve for x
    x = 45,612,347.61/3,084.01
  6. Step 6: Final answer
    x = 14,789.94

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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.