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Finding the Third Proportional to 9,682.88 and 13,429.13

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Solution

The third proportional to 9,682.88 and 13,429.13 is: 18,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.88 : 13,429.13 = 13,429.13 : x
  2. Step 2: Convert to fraction form
    9,682.88/13,429.13 = 13,429.13/x
  3. Step 3: Cross multiply
    9,682.88x = 13,429.13 × 13,429.13
  4. Step 4: Simplify right side
    9,682.88x = 180,341,398.27
  5. Step 5: Solve for x
    x = 180,341,398.27/9,682.88
  6. Step 6: Final answer
    x = 18,624.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.