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Finding the Third Proportional to 8,111.11 and 17,599.08

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Solution

The third proportional to 8,111.11 and 17,599.08 is: 38,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.11 : 17,599.08 = 17,599.08 : x
  2. Step 2: Convert to fraction form
    8,111.11/17,599.08 = 17,599.08/x
  3. Step 3: Cross multiply
    8,111.11x = 17,599.08 × 17,599.08
  4. Step 4: Simplify right side
    8,111.11x = 309,727,550.85
  5. Step 5: Solve for x
    x = 309,727,550.85/8,111.11
  6. Step 6: Final answer
    x = 38,185.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.