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Finding the Third Proportional to 27,647 and 60,478

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Solution

The third proportional to 27,647 and 60,478 is: 132,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647 : 60,478 = 60,478 : x
  2. Step 2: Convert to fraction form
    27,647/60,478 = 60,478/x
  3. Step 3: Cross multiply
    27,647x = 60,478 × 60,478
  4. Step 4: Simplify right side
    27,647x = 3,657,588,484
  5. Step 5: Solve for x
    x = 3,657,588,484/27,647
  6. Step 6: Final answer
    x = 132,296.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.