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Finding the Third Proportional to 2,872.93 and 6,199.35

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Solution

The third proportional to 2,872.93 and 6,199.35 is: 13,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.93 : 6,199.35 = 6,199.35 : x
  2. Step 2: Convert to fraction form
    2,872.93/6,199.35 = 6,199.35/x
  3. Step 3: Cross multiply
    2,872.93x = 6,199.35 × 6,199.35
  4. Step 4: Simplify right side
    2,872.93x = 38,431,911.36
  5. Step 5: Solve for x
    x = 38,431,911.36/2,872.93
  6. Step 6: Final answer
    x = 13,377.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.