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Finding the Third Proportional to 3,476.04 and 5,348.85

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Solution

The third proportional to 3,476.04 and 5,348.85 is: 8,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.04 : 5,348.85 = 5,348.85 : x
  2. Step 2: Convert to fraction form
    3,476.04/5,348.85 = 5,348.85/x
  3. Step 3: Cross multiply
    3,476.04x = 5,348.85 × 5,348.85
  4. Step 4: Simplify right side
    3,476.04x = 28,610,171.25
  5. Step 5: Solve for x
    x = 28,610,171.25/3,476.04
  6. Step 6: Final answer
    x = 8,230.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.