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Finding the Third Proportional to 3,463.41 and 7,173.19

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Solution

The third proportional to 3,463.41 and 7,173.19 is: 14,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.41 : 7,173.19 = 7,173.19 : x
  2. Step 2: Convert to fraction form
    3,463.41/7,173.19 = 7,173.19/x
  3. Step 3: Cross multiply
    3,463.41x = 7,173.19 × 7,173.19
  4. Step 4: Simplify right side
    3,463.41x = 51,454,618.91
  5. Step 5: Solve for x
    x = 51,454,618.91/3,463.41
  6. Step 6: Final answer
    x = 14,856.65

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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.