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Finding the Third Proportional to 6,274.97 and 9,640.27

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Solution

The third proportional to 6,274.97 and 9,640.27 is: 14,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.97 : 9,640.27 = 9,640.27 : x
  2. Step 2: Convert to fraction form
    6,274.97/9,640.27 = 9,640.27/x
  3. Step 3: Cross multiply
    6,274.97x = 9,640.27 × 9,640.27
  4. Step 4: Simplify right side
    6,274.97x = 92,934,721.32
  5. Step 5: Solve for x
    x = 92,934,721.32/6,274.97
  6. Step 6: Final answer
    x = 14,810.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.