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Finding the Third Proportional to 13,820.06 and 20,844.56

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Solution

The third proportional to 13,820.06 and 20,844.56 is: 31,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.06 : 20,844.56 = 20,844.56 : x
  2. Step 2: Convert to fraction form
    13,820.06/20,844.56 = 20,844.56/x
  3. Step 3: Cross multiply
    13,820.06x = 20,844.56 × 20,844.56
  4. Step 4: Simplify right side
    13,820.06x = 434,495,785.82
  5. Step 5: Solve for x
    x = 434,495,785.82/13,820.06
  6. Step 6: Final answer
    x = 31,439.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.