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Finding the Third Proportional to 27,802 and 60,438

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Solution

The third proportional to 27,802 and 60,438 is: 131,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802 : 60,438 = 60,438 : x
  2. Step 2: Convert to fraction form
    27,802/60,438 = 60,438/x
  3. Step 3: Cross multiply
    27,802x = 60,438 × 60,438
  4. Step 4: Simplify right side
    27,802x = 3,652,751,844
  5. Step 5: Solve for x
    x = 3,652,751,844/27,802
  6. Step 6: Final answer
    x = 131,384.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.