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Finding the Third Proportional to 26,084 and 39,250

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Solution

The third proportional to 26,084 and 39,250 is: 59,061.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,084 : 39,250 = 39,250 : x
  2. Step 2: Convert to fraction form
    26,084/39,250 = 39,250/x
  3. Step 3: Cross multiply
    26,084x = 39,250 × 39,250
  4. Step 4: Simplify right side
    26,084x = 1,540,562,500
  5. Step 5: Solve for x
    x = 1,540,562,500/26,084
  6. Step 6: Final answer
    x = 59,061.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.