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Finding the Third Proportional to 6,414.61 and 9,596.11

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Solution

The third proportional to 6,414.61 and 9,596.11 is: 14,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.61 : 9,596.11 = 9,596.11 : x
  2. Step 2: Convert to fraction form
    6,414.61/9,596.11 = 9,596.11/x
  3. Step 3: Cross multiply
    6,414.61x = 9,596.11 × 9,596.11
  4. Step 4: Simplify right side
    6,414.61x = 92,085,315.14
  5. Step 5: Solve for x
    x = 92,085,315.14/6,414.61
  6. Step 6: Final answer
    x = 14,355.56

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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.