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Finding the Third Proportional to 27,671 and 59,998

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Solution

The third proportional to 27,671 and 59,998 is: 130,091.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,671 : 59,998 = 59,998 : x
  2. Step 2: Convert to fraction form
    27,671/59,998 = 59,998/x
  3. Step 3: Cross multiply
    27,671x = 59,998 × 59,998
  4. Step 4: Simplify right side
    27,671x = 3,599,760,004
  5. Step 5: Solve for x
    x = 3,599,760,004/27,671
  6. Step 6: Final answer
    x = 130,091.43

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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.