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Finding the Third Proportional to 27,647 and 59,239

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Solution

The third proportional to 27,647 and 59,239 is: 126,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647 : 59,239 = 59,239 : x
  2. Step 2: Convert to fraction form
    27,647/59,239 = 59,239/x
  3. Step 3: Cross multiply
    27,647x = 59,239 × 59,239
  4. Step 4: Simplify right side
    27,647x = 3,509,259,121
  5. Step 5: Solve for x
    x = 3,509,259,121/27,647
  6. Step 6: Final answer
    x = 126,930.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.