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Finding the Third Proportional to 2,863.37 and 4,192.70

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Solution

The third proportional to 2,863.37 and 4,192.70 is: 6,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.37 : 4,192.70 = 4,192.70 : x
  2. Step 2: Convert to fraction form
    2,863.37/4,192.70 = 4,192.70/x
  3. Step 3: Cross multiply
    2,863.37x = 4,192.70 × 4,192.70
  4. Step 4: Simplify right side
    2,863.37x = 17,578,726.74
  5. Step 5: Solve for x
    x = 17,578,726.74/2,863.37
  6. Step 6: Final answer
    x = 6,139.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.