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Finding the Third Proportional to 4,553.40 and 6,402.96

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Solution

The third proportional to 4,553.40 and 6,402.96 is: 9,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.40 : 6,402.96 = 6,402.96 : x
  2. Step 2: Convert to fraction form
    4,553.40/6,402.96 = 6,402.96/x
  3. Step 3: Cross multiply
    4,553.40x = 6,402.96 × 6,402.96
  4. Step 4: Simplify right side
    4,553.40x = 40,997,833.73
  5. Step 5: Solve for x
    x = 40,997,833.73/4,553.40
  6. Step 6: Final answer
    x = 9,003.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.