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Finding the Third Proportional to 12,023.38 and 26,641.75

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Solution

The third proportional to 12,023.38 and 26,641.75 is: 59,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.38 : 26,641.75 = 26,641.75 : x
  2. Step 2: Convert to fraction form
    12,023.38/26,641.75 = 26,641.75/x
  3. Step 3: Cross multiply
    12,023.38x = 26,641.75 × 26,641.75
  4. Step 4: Simplify right side
    12,023.38x = 709,782,843.06
  5. Step 5: Solve for x
    x = 709,782,843.06/12,023.38
  6. Step 6: Final answer
    x = 59,033.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.