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Finding the Third Proportional to 27,253.50 and 60,009

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Solution

The third proportional to 27,253.50 and 60,009 is: 132,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,253.50 : 60,009 = 60,009 : x
  2. Step 2: Convert to fraction form
    27,253.50/60,009 = 60,009/x
  3. Step 3: Cross multiply
    27,253.50x = 60,009 × 60,009
  4. Step 4: Simplify right side
    27,253.50x = 3,601,080,081
  5. Step 5: Solve for x
    x = 3,601,080,081/27,253.50
  6. Step 6: Final answer
    x = 132,132.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.