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Finding the Third Proportional to 2,644.78 and 6,265.97

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Solution

The third proportional to 2,644.78 and 6,265.97 is: 14,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.78 : 6,265.97 = 6,265.97 : x
  2. Step 2: Convert to fraction form
    2,644.78/6,265.97 = 6,265.97/x
  3. Step 3: Cross multiply
    2,644.78x = 6,265.97 × 6,265.97
  4. Step 4: Simplify right side
    2,644.78x = 39,262,364.38
  5. Step 5: Solve for x
    x = 39,262,364.38/2,644.78
  6. Step 6: Final answer
    x = 14,845.22

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.