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Finding the Third Proportional to 2,678.06 and 4,233.09

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Solution

The third proportional to 2,678.06 and 4,233.09 is: 6,691.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.06 : 4,233.09 = 4,233.09 : x
  2. Step 2: Convert to fraction form
    2,678.06/4,233.09 = 4,233.09/x
  3. Step 3: Cross multiply
    2,678.06x = 4,233.09 × 4,233.09
  4. Step 4: Simplify right side
    2,678.06x = 17,919,082.70
  5. Step 5: Solve for x
    x = 17,919,082.70/2,678.06
  6. Step 6: Final answer
    x = 6,691.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.