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Finding the Third Proportional to 13,273.88 and 20,013.19

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Solution

The third proportional to 13,273.88 and 20,013.19 is: 30,174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,273.88 : 20,013.19 = 20,013.19 : x
  2. Step 2: Convert to fraction form
    13,273.88/20,013.19 = 20,013.19/x
  3. Step 3: Cross multiply
    13,273.88x = 20,013.19 × 20,013.19
  4. Step 4: Simplify right side
    13,273.88x = 400,527,673.91
  5. Step 5: Solve for x
    x = 400,527,673.91/13,273.88
  6. Step 6: Final answer
    x = 30,174.13

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Why These Related Problems?

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