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Finding the Third Proportional to 4,499.30 and 9,344.11

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Solution

The third proportional to 4,499.30 and 9,344.11 is: 19,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499.30 : 9,344.11 = 9,344.11 : x
  2. Step 2: Convert to fraction form
    4,499.30/9,344.11 = 9,344.11/x
  3. Step 3: Cross multiply
    4,499.30x = 9,344.11 × 9,344.11
  4. Step 4: Simplify right side
    4,499.30x = 87,312,380.01
  5. Step 5: Solve for x
    x = 87,312,380.01/4,499.30
  6. Step 6: Final answer
    x = 19,405.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.