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Finding the Third Proportional to 3,413 and 7,190.25

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Solution

The third proportional to 3,413 and 7,190.25 is: 15,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413 : 7,190.25 = 7,190.25 : x
  2. Step 2: Convert to fraction form
    3,413/7,190.25 = 7,190.25/x
  3. Step 3: Cross multiply
    3,413x = 7,190.25 × 7,190.25
  4. Step 4: Simplify right side
    3,413x = 51,699,695.06
  5. Step 5: Solve for x
    x = 51,699,695.06/3,413
  6. Step 6: Final answer
    x = 15,147.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.