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Finding the Third Proportional to 3,435.07 and 5,502.21

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Solution

The third proportional to 3,435.07 and 5,502.21 is: 8,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.07 : 5,502.21 = 5,502.21 : x
  2. Step 2: Convert to fraction form
    3,435.07/5,502.21 = 5,502.21/x
  3. Step 3: Cross multiply
    3,435.07x = 5,502.21 × 5,502.21
  4. Step 4: Simplify right side
    3,435.07x = 30,274,268.78
  5. Step 5: Solve for x
    x = 30,274,268.78/3,435.07
  6. Step 6: Final answer
    x = 8,813.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.