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Finding the Third Proportional to 13,137 and 19,659

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Solution

The third proportional to 13,137 and 19,659 is: 29,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137 : 19,659 = 19,659 : x
  2. Step 2: Convert to fraction form
    13,137/19,659 = 19,659/x
  3. Step 3: Cross multiply
    13,137x = 19,659 × 19,659
  4. Step 4: Simplify right side
    13,137x = 386,476,281
  5. Step 5: Solve for x
    x = 386,476,281/13,137
  6. Step 6: Final answer
    x = 29,418.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.