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Finding the Third Proportional to 22,546 and 48,979

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Solution

The third proportional to 22,546 and 48,979 is: 106,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546 : 48,979 = 48,979 : x
  2. Step 2: Convert to fraction form
    22,546/48,979 = 48,979/x
  3. Step 3: Cross multiply
    22,546x = 48,979 × 48,979
  4. Step 4: Simplify right side
    22,546x = 2,398,942,441
  5. Step 5: Solve for x
    x = 2,398,942,441/22,546
  6. Step 6: Final answer
    x = 106,402.13

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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.