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Finding the Third Proportional to 26,005.50 and 55,961.06

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Solution

The third proportional to 26,005.50 and 55,961.06 is: 120,422.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,005.50 : 55,961.06 = 55,961.06 : x
  2. Step 2: Convert to fraction form
    26,005.50/55,961.06 = 55,961.06/x
  3. Step 3: Cross multiply
    26,005.50x = 55,961.06 × 55,961.06
  4. Step 4: Simplify right side
    26,005.50x = 3,131,640,516.13
  5. Step 5: Solve for x
    x = 3,131,640,516.13/26,005.50
  6. Step 6: Final answer
    x = 120,422.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.