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Finding the Third Proportional to 16,356.94 and 35,834.91

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Solution

The third proportional to 16,356.94 and 35,834.91 is: 78,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.94 : 35,834.91 = 35,834.91 : x
  2. Step 2: Convert to fraction form
    16,356.94/35,834.91 = 35,834.91/x
  3. Step 3: Cross multiply
    16,356.94x = 35,834.91 × 35,834.91
  4. Step 4: Simplify right side
    16,356.94x = 1,284,140,505.95
  5. Step 5: Solve for x
    x = 1,284,140,505.95/16,356.94
  6. Step 6: Final answer
    x = 78,507.39

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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.