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Finding the Third Proportional to 9,327 and 12,844.50

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Solution

The third proportional to 9,327 and 12,844.50 is: 17,688.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327 : 12,844.50 = 12,844.50 : x
  2. Step 2: Convert to fraction form
    9,327/12,844.50 = 12,844.50/x
  3. Step 3: Cross multiply
    9,327x = 12,844.50 × 12,844.50
  4. Step 4: Simplify right side
    9,327x = 164,981,180.25
  5. Step 5: Solve for x
    x = 164,981,180.25/9,327
  6. Step 6: Final answer
    x = 17,688.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.