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Finding the Third Proportional to 16,356.94 and 35,665.31

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Solution

The third proportional to 16,356.94 and 35,665.31 is: 77,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.94 : 35,665.31 = 35,665.31 : x
  2. Step 2: Convert to fraction form
    16,356.94/35,665.31 = 35,665.31/x
  3. Step 3: Cross multiply
    16,356.94x = 35,665.31 × 35,665.31
  4. Step 4: Simplify right side
    16,356.94x = 1,272,014,515.72
  5. Step 5: Solve for x
    x = 1,272,014,515.72/16,356.94
  6. Step 6: Final answer
    x = 77,766.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.