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Finding the Third Proportional to 12,375 and 27,209.25

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Solution

The third proportional to 12,375 and 27,209.25 is: 59,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,375 : 27,209.25 = 27,209.25 : x
  2. Step 2: Convert to fraction form
    12,375/27,209.25 = 27,209.25/x
  3. Step 3: Cross multiply
    12,375x = 27,209.25 × 27,209.25
  4. Step 4: Simplify right side
    12,375x = 740,343,285.56
  5. Step 5: Solve for x
    x = 740,343,285.56/12,375
  6. Step 6: Final answer
    x = 59,825.72

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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.