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Finding the Third Proportional to 16,871.75 and 36,921.19

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Solution

The third proportional to 16,871.75 and 36,921.19 is: 80,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.75 : 36,921.19 = 36,921.19 : x
  2. Step 2: Convert to fraction form
    16,871.75/36,921.19 = 36,921.19/x
  3. Step 3: Cross multiply
    16,871.75x = 36,921.19 × 36,921.19
  4. Step 4: Simplify right side
    16,871.75x = 1,363,174,086.41
  5. Step 5: Solve for x
    x = 1,363,174,086.41/16,871.75
  6. Step 6: Final answer
    x = 80,796.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.