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Finding the Third Proportional to 7,943.25 and 16,977.75

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Solution

The third proportional to 7,943.25 and 16,977.75 is: 36,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.25 : 16,977.75 = 16,977.75 : x
  2. Step 2: Convert to fraction form
    7,943.25/16,977.75 = 16,977.75/x
  3. Step 3: Cross multiply
    7,943.25x = 16,977.75 × 16,977.75
  4. Step 4: Simplify right side
    7,943.25x = 288,243,995.06
  5. Step 5: Solve for x
    x = 288,243,995.06/7,943.25
  6. Step 6: Final answer
    x = 36,287.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.