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Finding the Third Proportional to 16,299.84 and 35,710.59

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Solution

The third proportional to 16,299.84 and 35,710.59 is: 78,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.84 : 35,710.59 = 35,710.59 : x
  2. Step 2: Convert to fraction form
    16,299.84/35,710.59 = 35,710.59/x
  3. Step 3: Cross multiply
    16,299.84x = 35,710.59 × 35,710.59
  4. Step 4: Simplify right side
    16,299.84x = 1,275,246,505.98
  5. Step 5: Solve for x
    x = 1,275,246,505.98/16,299.84
  6. Step 6: Final answer
    x = 78,236.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.