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Finding the Third Proportional to 3,414.50 and 7,172

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Solution

The third proportional to 3,414.50 and 7,172 is: 15,064.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.50 : 7,172 = 7,172 : x
  2. Step 2: Convert to fraction form
    3,414.50/7,172 = 7,172/x
  3. Step 3: Cross multiply
    3,414.50x = 7,172 × 7,172
  4. Step 4: Simplify right side
    3,414.50x = 51,437,584
  5. Step 5: Solve for x
    x = 51,437,584/3,414.50
  6. Step 6: Final answer
    x = 15,064.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.