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Finding the Third Proportional to 2,754.94 and 6,497.25

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Solution

The third proportional to 2,754.94 and 6,497.25 is: 15,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.94 : 6,497.25 = 6,497.25 : x
  2. Step 2: Convert to fraction form
    2,754.94/6,497.25 = 6,497.25/x
  3. Step 3: Cross multiply
    2,754.94x = 6,497.25 × 6,497.25
  4. Step 4: Simplify right side
    2,754.94x = 42,214,257.56
  5. Step 5: Solve for x
    x = 42,214,257.56/2,754.94
  6. Step 6: Final answer
    x = 15,323.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.