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Finding the Third Proportional to 13,221 and 23,499

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Solution

The third proportional to 13,221 and 23,499 is: 41,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221 : 23,499 = 23,499 : x
  2. Step 2: Convert to fraction form
    13,221/23,499 = 23,499/x
  3. Step 3: Cross multiply
    13,221x = 23,499 × 23,499
  4. Step 4: Simplify right side
    13,221x = 552,203,001
  5. Step 5: Solve for x
    x = 552,203,001/13,221
  6. Step 6: Final answer
    x = 41,767.11

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.