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Finding the Third Proportional to 8,601.19 and 17,642.81

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Solution

The third proportional to 8,601.19 and 17,642.81 is: 36,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.19 : 17,642.81 = 17,642.81 : x
  2. Step 2: Convert to fraction form
    8,601.19/17,642.81 = 17,642.81/x
  3. Step 3: Cross multiply
    8,601.19x = 17,642.81 × 17,642.81
  4. Step 4: Simplify right side
    8,601.19x = 311,268,832.91
  5. Step 5: Solve for x
    x = 311,268,832.91/8,601.19
  6. Step 6: Final answer
    x = 36,189.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.