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Finding the Third Proportional to 2,038.92 and 3,101.10

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Solution

The third proportional to 2,038.92 and 3,101.10 is: 4,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.92 : 3,101.10 = 3,101.10 : x
  2. Step 2: Convert to fraction form
    2,038.92/3,101.10 = 3,101.10/x
  3. Step 3: Cross multiply
    2,038.92x = 3,101.10 × 3,101.10
  4. Step 4: Simplify right side
    2,038.92x = 9,616,806.67
  5. Step 5: Solve for x
    x = 9,616,806.67/2,038.92
  6. Step 6: Final answer
    x = 4,716.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.