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Finding the Third Proportional to 8,229.09 and 13,095.42

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Solution

The third proportional to 8,229.09 and 13,095.42 is: 20,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.09 : 13,095.42 = 13,095.42 : x
  2. Step 2: Convert to fraction form
    8,229.09/13,095.42 = 13,095.42/x
  3. Step 3: Cross multiply
    8,229.09x = 13,095.42 × 13,095.42
  4. Step 4: Simplify right side
    8,229.09x = 171,490,074.08
  5. Step 5: Solve for x
    x = 171,490,074.08/8,229.09
  6. Step 6: Final answer
    x = 20,839.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.