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Finding the Third Proportional to 3,854 and 9,221

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Solution

The third proportional to 3,854 and 9,221 is: 22,061.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854 : 9,221 = 9,221 : x
  2. Step 2: Convert to fraction form
    3,854/9,221 = 9,221/x
  3. Step 3: Cross multiply
    3,854x = 9,221 × 9,221
  4. Step 4: Simplify right side
    3,854x = 85,026,841
  5. Step 5: Solve for x
    x = 85,026,841/3,854
  6. Step 6: Final answer
    x = 22,061.97

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.