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Finding the Third Proportional to 6,204.09 and 9,468.46

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Solution

The third proportional to 6,204.09 and 9,468.46 is: 14,450.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.09 : 9,468.46 = 9,468.46 : x
  2. Step 2: Convert to fraction form
    6,204.09/9,468.46 = 9,468.46/x
  3. Step 3: Cross multiply
    6,204.09x = 9,468.46 × 9,468.46
  4. Step 4: Simplify right side
    6,204.09x = 89,651,678.55
  5. Step 5: Solve for x
    x = 89,651,678.55/6,204.09
  6. Step 6: Final answer
    x = 14,450.41

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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.