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Finding the Third Proportional to 26,530.25 and 58,163.50

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Solution

The third proportional to 26,530.25 and 58,163.50 is: 127,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,530.25 : 58,163.50 = 58,163.50 : x
  2. Step 2: Convert to fraction form
    26,530.25/58,163.50 = 58,163.50/x
  3. Step 3: Cross multiply
    26,530.25x = 58,163.50 × 58,163.50
  4. Step 4: Simplify right side
    26,530.25x = 3,382,992,732.25
  5. Step 5: Solve for x
    x = 3,382,992,732.25/26,530.25
  6. Step 6: Final answer
    x = 127,514.54

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