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Finding the Third Proportional to 13,114.41 and 20,856.23

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Solution

The third proportional to 13,114.41 and 20,856.23 is: 33,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.41 : 20,856.23 = 20,856.23 : x
  2. Step 2: Convert to fraction form
    13,114.41/20,856.23 = 20,856.23/x
  3. Step 3: Cross multiply
    13,114.41x = 20,856.23 × 20,856.23
  4. Step 4: Simplify right side
    13,114.41x = 434,982,512.30
  5. Step 5: Solve for x
    x = 434,982,512.30/13,114.41
  6. Step 6: Final answer
    x = 33,168.30

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.