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Finding the Third Proportional to 13,299 and 19,691

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Solution

The third proportional to 13,299 and 19,691 is: 29,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,299 : 19,691 = 19,691 : x
  2. Step 2: Convert to fraction form
    13,299/19,691 = 19,691/x
  3. Step 3: Cross multiply
    13,299x = 19,691 × 19,691
  4. Step 4: Simplify right side
    13,299x = 387,735,481
  5. Step 5: Solve for x
    x = 387,735,481/13,299
  6. Step 6: Final answer
    x = 29,155.24

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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.