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Finding the Third Proportional to 3,535.31 and 5,502.09

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Solution

The third proportional to 3,535.31 and 5,502.09 is: 8,563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.31 : 5,502.09 = 5,502.09 : x
  2. Step 2: Convert to fraction form
    3,535.31/5,502.09 = 5,502.09/x
  3. Step 3: Cross multiply
    3,535.31x = 5,502.09 × 5,502.09
  4. Step 4: Simplify right side
    3,535.31x = 30,273,035.63
  5. Step 5: Solve for x
    x = 30,273,035.63/3,535.31
  6. Step 6: Final answer
    x = 8,563.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.