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Finding the Third Proportional to 13,494 and 20,102

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Solution

The third proportional to 13,494 and 20,102 is: 29,945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494 : 20,102 = 20,102 : x
  2. Step 2: Convert to fraction form
    13,494/20,102 = 20,102/x
  3. Step 3: Cross multiply
    13,494x = 20,102 × 20,102
  4. Step 4: Simplify right side
    13,494x = 404,090,404
  5. Step 5: Solve for x
    x = 404,090,404/13,494
  6. Step 6: Final answer
    x = 29,945.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.