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Finding the Third Proportional to 12,307 and 27,253

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Solution

The third proportional to 12,307 and 27,253 is: 60,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307 : 27,253 = 27,253 : x
  2. Step 2: Convert to fraction form
    12,307/27,253 = 27,253/x
  3. Step 3: Cross multiply
    12,307x = 27,253 × 27,253
  4. Step 4: Simplify right side
    12,307x = 742,726,009
  5. Step 5: Solve for x
    x = 742,726,009/12,307
  6. Step 6: Final answer
    x = 60,349.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.