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Finding the Third Proportional to 26,301 and 56,979

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Solution

The third proportional to 26,301 and 56,979 is: 123,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,301 : 56,979 = 56,979 : x
  2. Step 2: Convert to fraction form
    26,301/56,979 = 56,979/x
  3. Step 3: Cross multiply
    26,301x = 56,979 × 56,979
  4. Step 4: Simplify right side
    26,301x = 3,246,606,441
  5. Step 5: Solve for x
    x = 3,246,606,441/26,301
  6. Step 6: Final answer
    x = 123,440.42

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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.