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Finding the Third Proportional to 1,828.97 and 4,315.78

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Solution

The third proportional to 1,828.97 and 4,315.78 is: 10,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.97 : 4,315.78 = 4,315.78 : x
  2. Step 2: Convert to fraction form
    1,828.97/4,315.78 = 4,315.78/x
  3. Step 3: Cross multiply
    1,828.97x = 4,315.78 × 4,315.78
  4. Step 4: Simplify right side
    1,828.97x = 18,625,967.80
  5. Step 5: Solve for x
    x = 18,625,967.80/1,828.97
  6. Step 6: Final answer
    x = 10,183.86

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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.