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Finding the Third Proportional to 2,828.25 and 4,713.19

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Solution

The third proportional to 2,828.25 and 4,713.19 is: 7,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.25 : 4,713.19 = 4,713.19 : x
  2. Step 2: Convert to fraction form
    2,828.25/4,713.19 = 4,713.19/x
  3. Step 3: Cross multiply
    2,828.25x = 4,713.19 × 4,713.19
  4. Step 4: Simplify right side
    2,828.25x = 22,214,136.41
  5. Step 5: Solve for x
    x = 22,214,136.41/2,828.25
  6. Step 6: Final answer
    x = 7,854.38

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.