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Finding the Third Proportional to 3,533 and 5,419.25

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Solution

The third proportional to 3,533 and 5,419.25 is: 8,312.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533 : 5,419.25 = 5,419.25 : x
  2. Step 2: Convert to fraction form
    3,533/5,419.25 = 5,419.25/x
  3. Step 3: Cross multiply
    3,533x = 5,419.25 × 5,419.25
  4. Step 4: Simplify right side
    3,533x = 29,368,270.56
  5. Step 5: Solve for x
    x = 29,368,270.56/3,533
  6. Step 6: Final answer
    x = 8,312.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.