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Finding the Third Proportional to 8,163 and 12,808.50

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Solution

The third proportional to 8,163 and 12,808.50 is: 20,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163 : 12,808.50 = 12,808.50 : x
  2. Step 2: Convert to fraction form
    8,163/12,808.50 = 12,808.50/x
  3. Step 3: Cross multiply
    8,163x = 12,808.50 × 12,808.50
  4. Step 4: Simplify right side
    8,163x = 164,057,672.25
  5. Step 5: Solve for x
    x = 164,057,672.25/8,163
  6. Step 6: Final answer
    x = 20,097.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.