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Finding the Third Proportional to 13,552.31 and 20,601.84

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Solution

The third proportional to 13,552.31 and 20,601.84 is: 31,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,552.31 : 20,601.84 = 20,601.84 : x
  2. Step 2: Convert to fraction form
    13,552.31/20,601.84 = 20,601.84/x
  3. Step 3: Cross multiply
    13,552.31x = 20,601.84 × 20,601.84
  4. Step 4: Simplify right side
    13,552.31x = 424,435,965.90
  5. Step 5: Solve for x
    x = 424,435,965.90/13,552.31
  6. Step 6: Final answer
    x = 31,318.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.