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Finding the Third Proportional to 6,433.88 and 9,649.69

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Solution

The third proportional to 6,433.88 and 9,649.69 is: 14,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.88 : 9,649.69 = 9,649.69 : x
  2. Step 2: Convert to fraction form
    6,433.88/9,649.69 = 9,649.69/x
  3. Step 3: Cross multiply
    6,433.88x = 9,649.69 × 9,649.69
  4. Step 4: Simplify right side
    6,433.88x = 93,116,468.85
  5. Step 5: Solve for x
    x = 93,116,468.85/6,433.88
  6. Step 6: Final answer
    x = 14,472.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.