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Finding the Third Proportional to 3,467.81 and 8,088.19

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Solution

The third proportional to 3,467.81 and 8,088.19 is: 18,864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.81 : 8,088.19 = 8,088.19 : x
  2. Step 2: Convert to fraction form
    3,467.81/8,088.19 = 8,088.19/x
  3. Step 3: Cross multiply
    3,467.81x = 8,088.19 × 8,088.19
  4. Step 4: Simplify right side
    3,467.81x = 65,418,777.04
  5. Step 5: Solve for x
    x = 65,418,777.04/3,467.81
  6. Step 6: Final answer
    x = 18,864.57

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.