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Finding the Third Proportional to 27,597 and 60,027

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Solution

The third proportional to 27,597 and 60,027 is: 130,566.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,597 : 60,027 = 60,027 : x
  2. Step 2: Convert to fraction form
    27,597/60,027 = 60,027/x
  3. Step 3: Cross multiply
    27,597x = 60,027 × 60,027
  4. Step 4: Simplify right side
    27,597x = 3,603,240,729
  5. Step 5: Solve for x
    x = 3,603,240,729/27,597
  6. Step 6: Final answer
    x = 130,566.39

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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.