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Finding the Third Proportional to 22,261 and 47,979

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Solution

The third proportional to 22,261 and 47,979 is: 103,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,261 : 47,979 = 47,979 : x
  2. Step 2: Convert to fraction form
    22,261/47,979 = 47,979/x
  3. Step 3: Cross multiply
    22,261x = 47,979 × 47,979
  4. Step 4: Simplify right side
    22,261x = 2,301,984,441
  5. Step 5: Solve for x
    x = 2,301,984,441/22,261
  6. Step 6: Final answer
    x = 103,408.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.