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Finding the Third Proportional to 15,599 and 34,204

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Solution

The third proportional to 15,599 and 34,204 is: 74,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,599 : 34,204 = 34,204 : x
  2. Step 2: Convert to fraction form
    15,599/34,204 = 34,204/x
  3. Step 3: Cross multiply
    15,599x = 34,204 × 34,204
  4. Step 4: Simplify right side
    15,599x = 1,169,913,616
  5. Step 5: Solve for x
    x = 1,169,913,616/15,599
  6. Step 6: Final answer
    x = 74,999.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.