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Finding the Third Proportional to 3,836.95 and 5,208.05

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Solution

The third proportional to 3,836.95 and 5,208.05 is: 7,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.95 : 5,208.05 = 5,208.05 : x
  2. Step 2: Convert to fraction form
    3,836.95/5,208.05 = 5,208.05/x
  3. Step 3: Cross multiply
    3,836.95x = 5,208.05 × 5,208.05
  4. Step 4: Simplify right side
    3,836.95x = 27,123,752.25
  5. Step 5: Solve for x
    x = 27,123,752.25/3,836.95
  6. Step 6: Final answer
    x = 7,069.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.