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Finding the Third Proportional to 13,599 and 29,689

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Solution

The third proportional to 13,599 and 29,689 is: 64,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599 : 29,689 = 29,689 : x
  2. Step 2: Convert to fraction form
    13,599/29,689 = 29,689/x
  3. Step 3: Cross multiply
    13,599x = 29,689 × 29,689
  4. Step 4: Simplify right side
    13,599x = 881,436,721
  5. Step 5: Solve for x
    x = 881,436,721/13,599
  6. Step 6: Final answer
    x = 64,816.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.