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Finding the Third Proportional to 16,022.81 and 35,326.13

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Solution

The third proportional to 16,022.81 and 35,326.13 is: 77,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,022.81 : 35,326.13 = 35,326.13 : x
  2. Step 2: Convert to fraction form
    16,022.81/35,326.13 = 35,326.13/x
  3. Step 3: Cross multiply
    16,022.81x = 35,326.13 × 35,326.13
  4. Step 4: Simplify right side
    16,022.81x = 1,247,935,107.52
  5. Step 5: Solve for x
    x = 1,247,935,107.52/16,022.81
  6. Step 6: Final answer
    x = 77,884.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.