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Finding the Third Proportional to 13,568.34 and 21,221.16

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Solution

The third proportional to 13,568.34 and 21,221.16 is: 33,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568.34 : 21,221.16 = 21,221.16 : x
  2. Step 2: Convert to fraction form
    13,568.34/21,221.16 = 21,221.16/x
  3. Step 3: Cross multiply
    13,568.34x = 21,221.16 × 21,221.16
  4. Step 4: Simplify right side
    13,568.34x = 450,337,472.59
  5. Step 5: Solve for x
    x = 450,337,472.59/13,568.34
  6. Step 6: Final answer
    x = 33,190.31

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.