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Finding the Third Proportional to 6,202.20 and 13,446.63

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Solution

The third proportional to 6,202.20 and 13,446.63 is: 29,152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.20 : 13,446.63 = 13,446.63 : x
  2. Step 2: Convert to fraction form
    6,202.20/13,446.63 = 13,446.63/x
  3. Step 3: Cross multiply
    6,202.20x = 13,446.63 × 13,446.63
  4. Step 4: Simplify right side
    6,202.20x = 180,811,933.99
  5. Step 5: Solve for x
    x = 180,811,933.99/6,202.20
  6. Step 6: Final answer
    x = 29,152.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.