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Finding the Third Proportional to 27,643 and 60,997

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Solution

The third proportional to 27,643 and 60,997 is: 134,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643 : 60,997 = 60,997 : x
  2. Step 2: Convert to fraction form
    27,643/60,997 = 60,997/x
  3. Step 3: Cross multiply
    27,643x = 60,997 × 60,997
  4. Step 4: Simplify right side
    27,643x = 3,720,634,009
  5. Step 5: Solve for x
    x = 3,720,634,009/27,643
  6. Step 6: Final answer
    x = 134,595.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.