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Finding the Third Proportional to 16,178.13 and 34,605.21

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Solution

The third proportional to 16,178.13 and 34,605.21 is: 74,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.13 : 34,605.21 = 34,605.21 : x
  2. Step 2: Convert to fraction form
    16,178.13/34,605.21 = 34,605.21/x
  3. Step 3: Cross multiply
    16,178.13x = 34,605.21 × 34,605.21
  4. Step 4: Simplify right side
    16,178.13x = 1,197,520,624.03
  5. Step 5: Solve for x
    x = 1,197,520,624.03/16,178.13
  6. Step 6: Final answer
    x = 74,020.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.