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Finding the Third Proportional to 12,343 and 27,157

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Solution

The third proportional to 12,343 and 27,157 is: 59,750.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343 : 27,157 = 27,157 : x
  2. Step 2: Convert to fraction form
    12,343/27,157 = 27,157/x
  3. Step 3: Cross multiply
    12,343x = 27,157 × 27,157
  4. Step 4: Simplify right side
    12,343x = 737,502,649
  5. Step 5: Solve for x
    x = 737,502,649/12,343
  6. Step 6: Final answer
    x = 59,750.68

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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.