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Finding the Third Proportional to 3,687.19 and 8,057.81

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Solution

The third proportional to 3,687.19 and 8,057.81 is: 17,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.19 : 8,057.81 = 8,057.81 : x
  2. Step 2: Convert to fraction form
    3,687.19/8,057.81 = 8,057.81/x
  3. Step 3: Cross multiply
    3,687.19x = 8,057.81 × 8,057.81
  4. Step 4: Simplify right side
    3,687.19x = 64,928,342.29
  5. Step 5: Solve for x
    x = 64,928,342.29/3,687.19
  6. Step 6: Final answer
    x = 17,609.18

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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.