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Finding the Third Proportional to 26,591 and 56,701.75

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Solution

The third proportional to 26,591 and 56,701.75 is: 120,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,591 : 56,701.75 = 56,701.75 : x
  2. Step 2: Convert to fraction form
    26,591/56,701.75 = 56,701.75/x
  3. Step 3: Cross multiply
    26,591x = 56,701.75 × 56,701.75
  4. Step 4: Simplify right side
    26,591x = 3,215,088,453.06
  5. Step 5: Solve for x
    x = 3,215,088,453.06/26,591
  6. Step 6: Final answer
    x = 120,908.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.