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Finding the Third Proportional to 14,868 and 20,251.13

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Solution

The third proportional to 14,868 and 20,251.13 is: 27,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,868 : 20,251.13 = 20,251.13 : x
  2. Step 2: Convert to fraction form
    14,868/20,251.13 = 20,251.13/x
  3. Step 3: Cross multiply
    14,868x = 20,251.13 × 20,251.13
  4. Step 4: Simplify right side
    14,868x = 410,108,063.77
  5. Step 5: Solve for x
    x = 410,108,063.77/14,868
  6. Step 6: Final answer
    x = 27,583.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.