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Finding the Third Proportional to 6,624.56 and 14,023.69

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Solution

The third proportional to 6,624.56 and 14,023.69 is: 29,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.56 : 14,023.69 = 14,023.69 : x
  2. Step 2: Convert to fraction form
    6,624.56/14,023.69 = 14,023.69/x
  3. Step 3: Cross multiply
    6,624.56x = 14,023.69 × 14,023.69
  4. Step 4: Simplify right side
    6,624.56x = 196,663,811.10
  5. Step 5: Solve for x
    x = 196,663,811.10/6,624.56
  6. Step 6: Final answer
    x = 29,687.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.