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Finding the Third Proportional to 2,678.06 and 5,766.19

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Solution

The third proportional to 2,678.06 and 5,766.19 is: 12,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.06 : 5,766.19 = 5,766.19 : x
  2. Step 2: Convert to fraction form
    2,678.06/5,766.19 = 5,766.19/x
  3. Step 3: Cross multiply
    2,678.06x = 5,766.19 × 5,766.19
  4. Step 4: Simplify right side
    2,678.06x = 33,248,918.29
  5. Step 5: Solve for x
    x = 33,248,918.29/2,678.06
  6. Step 6: Final answer
    x = 12,415.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.