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Finding the Third Proportional to 26,311.50 and 58,162.50

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Solution

The third proportional to 26,311.50 and 58,162.50 is: 128,570.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,311.50 : 58,162.50 = 58,162.50 : x
  2. Step 2: Convert to fraction form
    26,311.50/58,162.50 = 58,162.50/x
  3. Step 3: Cross multiply
    26,311.50x = 58,162.50 × 58,162.50
  4. Step 4: Simplify right side
    26,311.50x = 3,382,876,406.25
  5. Step 5: Solve for x
    x = 3,382,876,406.25/26,311.50
  6. Step 6: Final answer
    x = 128,570.26

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.