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Finding the Third Proportional to 6,199 and 12,623

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Solution

The third proportional to 6,199 and 12,623 is: 25,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199 : 12,623 = 12,623 : x
  2. Step 2: Convert to fraction form
    6,199/12,623 = 12,623/x
  3. Step 3: Cross multiply
    6,199x = 12,623 × 12,623
  4. Step 4: Simplify right side
    6,199x = 159,340,129
  5. Step 5: Solve for x
    x = 159,340,129/6,199
  6. Step 6: Final answer
    x = 25,704.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.