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Finding the Third Proportional to 13,693 and 20,216

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Solution

The third proportional to 13,693 and 20,216 is: 29,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693 : 20,216 = 20,216 : x
  2. Step 2: Convert to fraction form
    13,693/20,216 = 20,216/x
  3. Step 3: Cross multiply
    13,693x = 20,216 × 20,216
  4. Step 4: Simplify right side
    13,693x = 408,686,656
  5. Step 5: Solve for x
    x = 408,686,656/13,693
  6. Step 6: Final answer
    x = 29,846.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.