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Finding the Third Proportional to 26,416.50 and 35,979

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Solution

The third proportional to 26,416.50 and 35,979 is: 49,003.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,416.50 : 35,979 = 35,979 : x
  2. Step 2: Convert to fraction form
    26,416.50/35,979 = 35,979/x
  3. Step 3: Cross multiply
    26,416.50x = 35,979 × 35,979
  4. Step 4: Simplify right side
    26,416.50x = 1,294,488,441
  5. Step 5: Solve for x
    x = 1,294,488,441/26,416.50
  6. Step 6: Final answer
    x = 49,003.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.