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Finding the Third Proportional to 6,283.83 and 12,966.33

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Solution

The third proportional to 6,283.83 and 12,966.33 is: 26,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.83 : 12,966.33 = 12,966.33 : x
  2. Step 2: Convert to fraction form
    6,283.83/12,966.33 = 12,966.33/x
  3. Step 3: Cross multiply
    6,283.83x = 12,966.33 × 12,966.33
  4. Step 4: Simplify right side
    6,283.83x = 168,125,665.05
  5. Step 5: Solve for x
    x = 168,125,665.05/6,283.83
  6. Step 6: Final answer
    x = 26,755.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.