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Finding the Third Proportional to 6,887.81 and 14,943.38

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Solution

The third proportional to 6,887.81 and 14,943.38 is: 32,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,887.81 : 14,943.38 = 14,943.38 : x
  2. Step 2: Convert to fraction form
    6,887.81/14,943.38 = 14,943.38/x
  3. Step 3: Cross multiply
    6,887.81x = 14,943.38 × 14,943.38
  4. Step 4: Simplify right side
    6,887.81x = 223,304,456.39
  5. Step 5: Solve for x
    x = 223,304,456.39/6,887.81
  6. Step 6: Final answer
    x = 32,420.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.