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Finding the Third Proportional to 8,199 and 17,537.50

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Solution

The third proportional to 8,199 and 17,537.50 is: 37,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199 : 17,537.50 = 17,537.50 : x
  2. Step 2: Convert to fraction form
    8,199/17,537.50 = 17,537.50/x
  3. Step 3: Cross multiply
    8,199x = 17,537.50 × 17,537.50
  4. Step 4: Simplify right side
    8,199x = 307,563,906.25
  5. Step 5: Solve for x
    x = 307,563,906.25/8,199
  6. Step 6: Final answer
    x = 37,512.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.