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Finding the Third Proportional to 2,810.25 and 4,107.38

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Solution

The third proportional to 2,810.25 and 4,107.38 is: 6,003.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.25 : 4,107.38 = 4,107.38 : x
  2. Step 2: Convert to fraction form
    2,810.25/4,107.38 = 4,107.38/x
  3. Step 3: Cross multiply
    2,810.25x = 4,107.38 × 4,107.38
  4. Step 4: Simplify right side
    2,810.25x = 16,870,529.39
  5. Step 5: Solve for x
    x = 16,870,529.39/2,810.25
  6. Step 6: Final answer
    x = 6,003.21

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