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Finding the Third Proportional to 8,508 and 18,385.50

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Solution

The third proportional to 8,508 and 18,385.50 is: 39,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508 : 18,385.50 = 18,385.50 : x
  2. Step 2: Convert to fraction form
    8,508/18,385.50 = 18,385.50/x
  3. Step 3: Cross multiply
    8,508x = 18,385.50 × 18,385.50
  4. Step 4: Simplify right side
    8,508x = 338,026,610.25
  5. Step 5: Solve for x
    x = 338,026,610.25/8,508
  6. Step 6: Final answer
    x = 39,730.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.