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Finding the Third Proportional to 14,781.94 and 32,844.38

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Solution

The third proportional to 14,781.94 and 32,844.38 is: 72,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,781.94 : 32,844.38 = 32,844.38 : x
  2. Step 2: Convert to fraction form
    14,781.94/32,844.38 = 32,844.38/x
  3. Step 3: Cross multiply
    14,781.94x = 32,844.38 × 32,844.38
  4. Step 4: Simplify right side
    14,781.94x = 1,078,752,969.14
  5. Step 5: Solve for x
    x = 1,078,752,969.14/14,781.94
  6. Step 6: Final answer
    x = 72,977.78

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.