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Finding the Third Proportional to 27,960 and 60,533

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Solution

The third proportional to 27,960 and 60,533 is: 131,053.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,960 : 60,533 = 60,533 : x
  2. Step 2: Convert to fraction form
    27,960/60,533 = 60,533/x
  3. Step 3: Cross multiply
    27,960x = 60,533 × 60,533
  4. Step 4: Simplify right side
    27,960x = 3,664,244,089
  5. Step 5: Solve for x
    x = 3,664,244,089/27,960
  6. Step 6: Final answer
    x = 131,053.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.