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Finding the Third Proportional to 16,850.25 and 26,430.75

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Solution

The third proportional to 16,850.25 and 26,430.75 is: 41,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,850.25 : 26,430.75 = 26,430.75 : x
  2. Step 2: Convert to fraction form
    16,850.25/26,430.75 = 26,430.75/x
  3. Step 3: Cross multiply
    16,850.25x = 26,430.75 × 26,430.75
  4. Step 4: Simplify right side
    16,850.25x = 698,584,545.56
  5. Step 5: Solve for x
    x = 698,584,545.56/16,850.25
  6. Step 6: Final answer
    x = 41,458.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.