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Finding the Third Proportional to 3,174.19 and 6,572.39

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Solution

The third proportional to 3,174.19 and 6,572.39 is: 13,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.19 : 6,572.39 = 6,572.39 : x
  2. Step 2: Convert to fraction form
    3,174.19/6,572.39 = 6,572.39/x
  3. Step 3: Cross multiply
    3,174.19x = 6,572.39 × 6,572.39
  4. Step 4: Simplify right side
    3,174.19x = 43,196,318.53
  5. Step 5: Solve for x
    x = 43,196,318.53/3,174.19
  6. Step 6: Final answer
    x = 13,608.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.