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Finding the Third Proportional to 12,051 and 16,229.25

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Solution

The third proportional to 12,051 and 16,229.25 is: 21,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051 : 16,229.25 = 16,229.25 : x
  2. Step 2: Convert to fraction form
    12,051/16,229.25 = 16,229.25/x
  3. Step 3: Cross multiply
    12,051x = 16,229.25 × 16,229.25
  4. Step 4: Simplify right side
    12,051x = 263,388,555.56
  5. Step 5: Solve for x
    x = 263,388,555.56/12,051
  6. Step 6: Final answer
    x = 21,856.16

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.