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Finding the Third Proportional to 1,963.13 and 4,128.75

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Solution

The third proportional to 1,963.13 and 4,128.75 is: 8,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.13 : 4,128.75 = 4,128.75 : x
  2. Step 2: Convert to fraction form
    1,963.13/4,128.75 = 4,128.75/x
  3. Step 3: Cross multiply
    1,963.13x = 4,128.75 × 4,128.75
  4. Step 4: Simplify right side
    1,963.13x = 17,046,576.56
  5. Step 5: Solve for x
    x = 17,046,576.56/1,963.13
  6. Step 6: Final answer
    x = 8,683.39

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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.