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Finding the Third Proportional to 6,634.41 and 14,476.22

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Solution

The third proportional to 6,634.41 and 14,476.22 is: 31,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.41 : 14,476.22 = 14,476.22 : x
  2. Step 2: Convert to fraction form
    6,634.41/14,476.22 = 14,476.22/x
  3. Step 3: Cross multiply
    6,634.41x = 14,476.22 × 14,476.22
  4. Step 4: Simplify right side
    6,634.41x = 209,560,909.30
  5. Step 5: Solve for x
    x = 209,560,909.30/6,634.41
  6. Step 6: Final answer
    x = 31,586.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.