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Finding the Third Proportional to 8,193.66 and 17,750.39

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Solution

The third proportional to 8,193.66 and 17,750.39 is: 38,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.66 : 17,750.39 = 17,750.39 : x
  2. Step 2: Convert to fraction form
    8,193.66/17,750.39 = 17,750.39/x
  3. Step 3: Cross multiply
    8,193.66x = 17,750.39 × 17,750.39
  4. Step 4: Simplify right side
    8,193.66x = 315,076,367.34
  5. Step 5: Solve for x
    x = 315,076,367.34/8,193.66
  6. Step 6: Final answer
    x = 38,453.70

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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.