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Finding the Third Proportional to 6,424.55 and 9,636.82

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Solution

The third proportional to 6,424.55 and 9,636.82 is: 14,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.55 : 9,636.82 = 9,636.82 : x
  2. Step 2: Convert to fraction form
    6,424.55/9,636.82 = 9,636.82/x
  3. Step 3: Cross multiply
    6,424.55x = 9,636.82 × 9,636.82
  4. Step 4: Simplify right side
    6,424.55x = 92,868,390.43
  5. Step 5: Solve for x
    x = 92,868,390.43/6,424.55
  6. Step 6: Final answer
    x = 14,455.24

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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.