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Finding the Third Proportional to 26,134 and 39,815

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Solution

The third proportional to 26,134 and 39,815 is: 60,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,134 : 39,815 = 39,815 : x
  2. Step 2: Convert to fraction form
    26,134/39,815 = 39,815/x
  3. Step 3: Cross multiply
    26,134x = 39,815 × 39,815
  4. Step 4: Simplify right side
    26,134x = 1,585,234,225
  5. Step 5: Solve for x
    x = 1,585,234,225/26,134
  6. Step 6: Final answer
    x = 60,657.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.