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Finding the Third Proportional to 12,256 and 15,010

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Solution

The third proportional to 12,256 and 15,010 is: 18,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256 : 15,010 = 15,010 : x
  2. Step 2: Convert to fraction form
    12,256/15,010 = 15,010/x
  3. Step 3: Cross multiply
    12,256x = 15,010 × 15,010
  4. Step 4: Simplify right side
    12,256x = 225,300,100
  5. Step 5: Solve for x
    x = 225,300,100/12,256
  6. Step 6: Final answer
    x = 18,382.84

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.