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Finding the Third Proportional to 2,107.13 and 3,189.94

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Solution

The third proportional to 2,107.13 and 3,189.94 is: 4,829.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.13 : 3,189.94 = 3,189.94 : x
  2. Step 2: Convert to fraction form
    2,107.13/3,189.94 = 3,189.94/x
  3. Step 3: Cross multiply
    2,107.13x = 3,189.94 × 3,189.94
  4. Step 4: Simplify right side
    2,107.13x = 10,175,701.25
  5. Step 5: Solve for x
    x = 10,175,701.25/2,107.13
  6. Step 6: Final answer
    x = 4,829.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.