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Finding the Third Proportional to 27,481 and 59,995

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Solution

The third proportional to 27,481 and 59,995 is: 130,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,481 : 59,995 = 59,995 : x
  2. Step 2: Convert to fraction form
    27,481/59,995 = 59,995/x
  3. Step 3: Cross multiply
    27,481x = 59,995 × 59,995
  4. Step 4: Simplify right side
    27,481x = 3,599,400,025
  5. Step 5: Solve for x
    x = 3,599,400,025/27,481
  6. Step 6: Final answer
    x = 130,977.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.