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Finding the Third Proportional to 26,540.50 and 53,081

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Solution

The third proportional to 26,540.50 and 53,081 is: 106,162

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,540.50 : 53,081 = 53,081 : x
  2. Step 2: Convert to fraction form
    26,540.50/53,081 = 53,081/x
  3. Step 3: Cross multiply
    26,540.50x = 53,081 × 53,081
  4. Step 4: Simplify right side
    26,540.50x = 2,817,592,561
  5. Step 5: Solve for x
    x = 2,817,592,561/26,540.50
  6. Step 6: Final answer
    x = 106,162

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.