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Finding the Third Proportional to 8,511.64 and 17,843.41

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Solution

The third proportional to 8,511.64 and 17,843.41 is: 37,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.64 : 17,843.41 = 17,843.41 : x
  2. Step 2: Convert to fraction form
    8,511.64/17,843.41 = 17,843.41/x
  3. Step 3: Cross multiply
    8,511.64x = 17,843.41 × 17,843.41
  4. Step 4: Simplify right side
    8,511.64x = 318,387,425.41
  5. Step 5: Solve for x
    x = 318,387,425.41/8,511.64
  6. Step 6: Final answer
    x = 37,406.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.