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Finding the Third Proportional to 27,127 and 55,712

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Solution

The third proportional to 27,127 and 55,712 is: 114,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,127 : 55,712 = 55,712 : x
  2. Step 2: Convert to fraction form
    27,127/55,712 = 55,712/x
  3. Step 3: Cross multiply
    27,127x = 55,712 × 55,712
  4. Step 4: Simplify right side
    27,127x = 3,103,826,944
  5. Step 5: Solve for x
    x = 3,103,826,944/27,127
  6. Step 6: Final answer
    x = 114,418.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.