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Finding the Third Proportional to 16,405.66 and 35,989.31

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Solution

The third proportional to 16,405.66 and 35,989.31 is: 78,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.66 : 35,989.31 = 35,989.31 : x
  2. Step 2: Convert to fraction form
    16,405.66/35,989.31 = 35,989.31/x
  3. Step 3: Cross multiply
    16,405.66x = 35,989.31 × 35,989.31
  4. Step 4: Simplify right side
    16,405.66x = 1,295,230,614.22
  5. Step 5: Solve for x
    x = 1,295,230,614.22/16,405.66
  6. Step 6: Final answer
    x = 78,950.21

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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.