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Finding the Third Proportional to 27,102 and 58,788

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Solution

The third proportional to 27,102 and 58,788 is: 127,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102 : 58,788 = 58,788 : x
  2. Step 2: Convert to fraction form
    27,102/58,788 = 58,788/x
  3. Step 3: Cross multiply
    27,102x = 58,788 × 58,788
  4. Step 4: Simplify right side
    27,102x = 3,456,028,944
  5. Step 5: Solve for x
    x = 3,456,028,944/27,102
  6. Step 6: Final answer
    x = 127,519.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.