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Finding the Third Proportional to 1,963.13 and 2,872.69

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Solution

The third proportional to 1,963.13 and 2,872.69 is: 4,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.13 : 2,872.69 = 2,872.69 : x
  2. Step 2: Convert to fraction form
    1,963.13/2,872.69 = 2,872.69/x
  3. Step 3: Cross multiply
    1,963.13x = 2,872.69 × 2,872.69
  4. Step 4: Simplify right side
    1,963.13x = 8,252,333.47
  5. Step 5: Solve for x
    x = 8,252,333.47/1,963.13
  6. Step 6: Final answer
    x = 4,203.67

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Why These Related Problems?

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