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Finding the Third Proportional to 11,096 and 15,415

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Solution

The third proportional to 11,096 and 15,415 is: 21,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096 : 15,415 = 15,415 : x
  2. Step 2: Convert to fraction form
    11,096/15,415 = 15,415/x
  3. Step 3: Cross multiply
    11,096x = 15,415 × 15,415
  4. Step 4: Simplify right side
    11,096x = 237,622,225
  5. Step 5: Solve for x
    x = 237,622,225/11,096
  6. Step 6: Final answer
    x = 21,415.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.