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Finding the Third Proportional to 15,508 and 23,225

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Solution

The third proportional to 15,508 and 23,225 is: 34,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,508 : 23,225 = 23,225 : x
  2. Step 2: Convert to fraction form
    15,508/23,225 = 23,225/x
  3. Step 3: Cross multiply
    15,508x = 23,225 × 23,225
  4. Step 4: Simplify right side
    15,508x = 539,400,625
  5. Step 5: Solve for x
    x = 539,400,625/15,508
  6. Step 6: Final answer
    x = 34,782.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.