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Finding the Third Proportional to 2,872.13 and 6,032.81

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Solution

The third proportional to 2,872.13 and 6,032.81 is: 12,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.13 : 6,032.81 = 6,032.81 : x
  2. Step 2: Convert to fraction form
    2,872.13/6,032.81 = 6,032.81/x
  3. Step 3: Cross multiply
    2,872.13x = 6,032.81 × 6,032.81
  4. Step 4: Simplify right side
    2,872.13x = 36,394,826.66
  5. Step 5: Solve for x
    x = 36,394,826.66/2,872.13
  6. Step 6: Final answer
    x = 12,671.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.