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Finding the Third Proportional to 10,983.09 and 16,549.31

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Solution

The third proportional to 10,983.09 and 16,549.31 is: 24,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.09 : 16,549.31 = 16,549.31 : x
  2. Step 2: Convert to fraction form
    10,983.09/16,549.31 = 16,549.31/x
  3. Step 3: Cross multiply
    10,983.09x = 16,549.31 × 16,549.31
  4. Step 4: Simplify right side
    10,983.09x = 273,879,744.22
  5. Step 5: Solve for x
    x = 273,879,744.22/10,983.09
  6. Step 6: Final answer
    x = 24,936.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.