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Finding the Third Proportional to 6,406.59 and 9,793.41

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Solution

The third proportional to 6,406.59 and 9,793.41 is: 14,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.59 : 9,793.41 = 9,793.41 : x
  2. Step 2: Convert to fraction form
    6,406.59/9,793.41 = 9,793.41/x
  3. Step 3: Cross multiply
    6,406.59x = 9,793.41 × 9,793.41
  4. Step 4: Simplify right side
    6,406.59x = 95,910,805.98
  5. Step 5: Solve for x
    x = 95,910,805.98/6,406.59
  6. Step 6: Final answer
    x = 14,970.64

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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.