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Finding the Third Proportional to 5,603 and 8,141.75

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Solution

The third proportional to 5,603 and 8,141.75 is: 11,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603 : 8,141.75 = 8,141.75 : x
  2. Step 2: Convert to fraction form
    5,603/8,141.75 = 8,141.75/x
  3. Step 3: Cross multiply
    5,603x = 8,141.75 × 8,141.75
  4. Step 4: Simplify right side
    5,603x = 66,288,093.06
  5. Step 5: Solve for x
    x = 66,288,093.06/5,603
  6. Step 6: Final answer
    x = 11,830.82

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.