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Finding the Third Proportional to 13,338 and 19,747

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Solution

The third proportional to 13,338 and 19,747 is: 29,235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338 : 19,747 = 19,747 : x
  2. Step 2: Convert to fraction form
    13,338/19,747 = 19,747/x
  3. Step 3: Cross multiply
    13,338x = 19,747 × 19,747
  4. Step 4: Simplify right side
    13,338x = 389,944,009
  5. Step 5: Solve for x
    x = 389,944,009/13,338
  6. Step 6: Final answer
    x = 29,235.57

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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.