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Finding the Third Proportional to 26,204 and 40,269.50

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Solution

The third proportional to 26,204 and 40,269.50 is: 61,884.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,204 : 40,269.50 = 40,269.50 : x
  2. Step 2: Convert to fraction form
    26,204/40,269.50 = 40,269.50/x
  3. Step 3: Cross multiply
    26,204x = 40,269.50 × 40,269.50
  4. Step 4: Simplify right side
    26,204x = 1,621,632,630.25
  5. Step 5: Solve for x
    x = 1,621,632,630.25/26,204
  6. Step 6: Final answer
    x = 61,884.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.