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Finding the Third Proportional to 13,221 and 27,528.75

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Solution

The third proportional to 13,221 and 27,528.75 is: 57,320.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221 : 27,528.75 = 27,528.75 : x
  2. Step 2: Convert to fraction form
    13,221/27,528.75 = 27,528.75/x
  3. Step 3: Cross multiply
    13,221x = 27,528.75 × 27,528.75
  4. Step 4: Simplify right side
    13,221x = 757,832,076.56
  5. Step 5: Solve for x
    x = 757,832,076.56/13,221
  6. Step 6: Final answer
    x = 57,320.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.