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Finding the Third Proportional to 26,535 and 57,991

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Solution

The third proportional to 26,535 and 57,991 is: 126,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,535 : 57,991 = 57,991 : x
  2. Step 2: Convert to fraction form
    26,535/57,991 = 57,991/x
  3. Step 3: Cross multiply
    26,535x = 57,991 × 57,991
  4. Step 4: Simplify right side
    26,535x = 3,362,956,081
  5. Step 5: Solve for x
    x = 3,362,956,081/26,535
  6. Step 6: Final answer
    x = 126,736.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.