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Finding the Third Proportional to 8,317 and 13,167.50

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Solution

The third proportional to 8,317 and 13,167.50 is: 20,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317 : 13,167.50 = 13,167.50 : x
  2. Step 2: Convert to fraction form
    8,317/13,167.50 = 13,167.50/x
  3. Step 3: Cross multiply
    8,317x = 13,167.50 × 13,167.50
  4. Step 4: Simplify right side
    8,317x = 173,383,056.25
  5. Step 5: Solve for x
    x = 173,383,056.25/8,317
  6. Step 6: Final answer
    x = 20,846.83

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.