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Finding the Third Proportional to 5,225 and 11,422

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Solution

The third proportional to 5,225 and 11,422 is: 24,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225 : 11,422 = 11,422 : x
  2. Step 2: Convert to fraction form
    5,225/11,422 = 11,422/x
  3. Step 3: Cross multiply
    5,225x = 11,422 × 11,422
  4. Step 4: Simplify right side
    5,225x = 130,462,084
  5. Step 5: Solve for x
    x = 130,462,084/5,225
  6. Step 6: Final answer
    x = 24,968.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.