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Finding the Third Proportional to 6,294.38 and 9,520.88

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Solution

The third proportional to 6,294.38 and 9,520.88 is: 14,401.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.38 : 9,520.88 = 9,520.88 : x
  2. Step 2: Convert to fraction form
    6,294.38/9,520.88 = 9,520.88/x
  3. Step 3: Cross multiply
    6,294.38x = 9,520.88 × 9,520.88
  4. Step 4: Simplify right side
    6,294.38x = 90,647,060.77
  5. Step 5: Solve for x
    x = 90,647,060.77/6,294.38
  6. Step 6: Final answer
    x = 14,401.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.