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Finding the Third Proportional to 8,111.44 and 17,599.78

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Solution

The third proportional to 8,111.44 and 17,599.78 is: 38,187.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.44 : 17,599.78 = 17,599.78 : x
  2. Step 2: Convert to fraction form
    8,111.44/17,599.78 = 17,599.78/x
  3. Step 3: Cross multiply
    8,111.44x = 17,599.78 × 17,599.78
  4. Step 4: Simplify right side
    8,111.44x = 309,752,300.05
  5. Step 5: Solve for x
    x = 309,752,300.05/8,111.44
  6. Step 6: Final answer
    x = 38,187.10

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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.