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Finding the Third Proportional to 27,033 and 40,509

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Solution

The third proportional to 27,033 and 40,509 is: 60,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,033 : 40,509 = 40,509 : x
  2. Step 2: Convert to fraction form
    27,033/40,509 = 40,509/x
  3. Step 3: Cross multiply
    27,033x = 40,509 × 40,509
  4. Step 4: Simplify right side
    27,033x = 1,640,979,081
  5. Step 5: Solve for x
    x = 1,640,979,081/27,033
  6. Step 6: Final answer
    x = 60,702.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.