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Finding the Third Proportional to 27,127 and 41,997

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Solution

The third proportional to 27,127 and 41,997 is: 65,018.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,127 : 41,997 = 41,997 : x
  2. Step 2: Convert to fraction form
    27,127/41,997 = 41,997/x
  3. Step 3: Cross multiply
    27,127x = 41,997 × 41,997
  4. Step 4: Simplify right side
    27,127x = 1,763,748,009
  5. Step 5: Solve for x
    x = 1,763,748,009/27,127
  6. Step 6: Final answer
    x = 65,018.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.