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Finding the Third Proportional to 5,625 and 12,375

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Solution

The third proportional to 5,625 and 12,375 is: 27,225

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625 : 12,375 = 12,375 : x
  2. Step 2: Convert to fraction form
    5,625/12,375 = 12,375/x
  3. Step 3: Cross multiply
    5,625x = 12,375 × 12,375
  4. Step 4: Simplify right side
    5,625x = 153,140,625
  5. Step 5: Solve for x
    x = 153,140,625/5,625
  6. Step 6: Final answer
    x = 27,225

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.