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Finding the Third Proportional to 9,144 and 12,256.31

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Solution

The third proportional to 9,144 and 12,256.31 is: 16,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144 : 12,256.31 = 12,256.31 : x
  2. Step 2: Convert to fraction form
    9,144/12,256.31 = 12,256.31/x
  3. Step 3: Cross multiply
    9,144x = 12,256.31 × 12,256.31
  4. Step 4: Simplify right side
    9,144x = 150,217,196.10
  5. Step 5: Solve for x
    x = 150,217,196.10/9,144
  6. Step 6: Final answer
    x = 16,427.95

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.