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Finding the Third Proportional to 5,652 and 8,221

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Solution

The third proportional to 5,652 and 8,221 is: 11,957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652 : 8,221 = 8,221 : x
  2. Step 2: Convert to fraction form
    5,652/8,221 = 8,221/x
  3. Step 3: Cross multiply
    5,652x = 8,221 × 8,221
  4. Step 4: Simplify right side
    5,652x = 67,584,841
  5. Step 5: Solve for x
    x = 67,584,841/5,652
  6. Step 6: Final answer
    x = 11,957.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.