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Finding the Third Proportional to 27,769 and 60,463

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Solution

The third proportional to 27,769 and 60,463 is: 131,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769 : 60,463 = 60,463 : x
  2. Step 2: Convert to fraction form
    27,769/60,463 = 60,463/x
  3. Step 3: Cross multiply
    27,769x = 60,463 × 60,463
  4. Step 4: Simplify right side
    27,769x = 3,655,774,369
  5. Step 5: Solve for x
    x = 3,655,774,369/27,769
  6. Step 6: Final answer
    x = 131,649.48

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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.