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Finding the Third Proportional to 8,317.69 and 12,881.53

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Solution

The third proportional to 8,317.69 and 12,881.53 is: 19,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.69 : 12,881.53 = 12,881.53 : x
  2. Step 2: Convert to fraction form
    8,317.69/12,881.53 = 12,881.53/x
  3. Step 3: Cross multiply
    8,317.69x = 12,881.53 × 12,881.53
  4. Step 4: Simplify right side
    8,317.69x = 165,933,847.34
  5. Step 5: Solve for x
    x = 165,933,847.34/8,317.69
  6. Step 6: Final answer
    x = 19,949.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.