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Finding the Third Proportional to 13,301 and 19,694

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Solution

The third proportional to 13,301 and 19,694 is: 29,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,301 : 19,694 = 19,694 : x
  2. Step 2: Convert to fraction form
    13,301/19,694 = 19,694/x
  3. Step 3: Cross multiply
    13,301x = 19,694 × 19,694
  4. Step 4: Simplify right side
    13,301x = 387,853,636
  5. Step 5: Solve for x
    x = 387,853,636/13,301
  6. Step 6: Final answer
    x = 29,159.74

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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.