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Finding the Third Proportional to 2,413 and 3,221

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Solution

The third proportional to 2,413 and 3,221 is: 4,299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413 : 3,221 = 3,221 : x
  2. Step 2: Convert to fraction form
    2,413/3,221 = 3,221/x
  3. Step 3: Cross multiply
    2,413x = 3,221 × 3,221
  4. Step 4: Simplify right side
    2,413x = 10,374,841
  5. Step 5: Solve for x
    x = 10,374,841/2,413
  6. Step 6: Final answer
    x = 4,299.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.