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Finding the Third Proportional to 3,633.75 and 5,763.38

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Solution

The third proportional to 3,633.75 and 5,763.38 is: 9,141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.75 : 5,763.38 = 5,763.38 : x
  2. Step 2: Convert to fraction form
    3,633.75/5,763.38 = 5,763.38/x
  3. Step 3: Cross multiply
    3,633.75x = 5,763.38 × 5,763.38
  4. Step 4: Simplify right side
    3,633.75x = 33,216,491.39
  5. Step 5: Solve for x
    x = 33,216,491.39/3,633.75
  6. Step 6: Final answer
    x = 9,141.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.