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Finding the Third Proportional to 16,285.13 and 35,687.63

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Solution

The third proportional to 16,285.13 and 35,687.63 is: 78,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.13 : 35,687.63 = 35,687.63 : x
  2. Step 2: Convert to fraction form
    16,285.13/35,687.63 = 35,687.63/x
  3. Step 3: Cross multiply
    16,285.13x = 35,687.63 × 35,687.63
  4. Step 4: Simplify right side
    16,285.13x = 1,273,606,578.14
  5. Step 5: Solve for x
    x = 1,273,606,578.14/16,285.13
  6. Step 6: Final answer
    x = 78,206.74

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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.