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Finding the Third Proportional to 12,362.25 and 16,512.75

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Solution

The third proportional to 12,362.25 and 16,512.75 is: 22,056.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.25 : 16,512.75 = 16,512.75 : x
  2. Step 2: Convert to fraction form
    12,362.25/16,512.75 = 16,512.75/x
  3. Step 3: Cross multiply
    12,362.25x = 16,512.75 × 16,512.75
  4. Step 4: Simplify right side
    12,362.25x = 272,670,912.56
  5. Step 5: Solve for x
    x = 272,670,912.56/12,362.25
  6. Step 6: Final answer
    x = 22,056.74

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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.