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Finding the Third Proportional to 2,658 and 6,099

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Solution

The third proportional to 2,658 and 6,099 is: 13,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658 : 6,099 = 6,099 : x
  2. Step 2: Convert to fraction form
    2,658/6,099 = 6,099/x
  3. Step 3: Cross multiply
    2,658x = 6,099 × 6,099
  4. Step 4: Simplify right side
    2,658x = 37,197,801
  5. Step 5: Solve for x
    x = 37,197,801/2,658
  6. Step 6: Final answer
    x = 13,994.66

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.