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Finding the Third Proportional to 2,107.13 and 2,895.19

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Solution

The third proportional to 2,107.13 and 2,895.19 is: 3,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.13 : 2,895.19 = 2,895.19 : x
  2. Step 2: Convert to fraction form
    2,107.13/2,895.19 = 2,895.19/x
  3. Step 3: Cross multiply
    2,107.13x = 2,895.19 × 2,895.19
  4. Step 4: Simplify right side
    2,107.13x = 8,382,110.66
  5. Step 5: Solve for x
    x = 8,382,110.66/2,107.13
  6. Step 6: Final answer
    x = 3,977.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.