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Finding the Third Proportional to 12,334 and 27,127

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Solution

The third proportional to 12,334 and 27,127 is: 59,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334 : 27,127 = 27,127 : x
  2. Step 2: Convert to fraction form
    12,334/27,127 = 27,127/x
  3. Step 3: Cross multiply
    12,334x = 27,127 × 27,127
  4. Step 4: Simplify right side
    12,334x = 735,874,129
  5. Step 5: Solve for x
    x = 735,874,129/12,334
  6. Step 6: Final answer
    x = 59,662.24

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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.