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Finding the Third Proportional to 26,437 and 36,307

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Solution

The third proportional to 26,437 and 36,307 is: 49,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,437 : 36,307 = 36,307 : x
  2. Step 2: Convert to fraction form
    26,437/36,307 = 36,307/x
  3. Step 3: Cross multiply
    26,437x = 36,307 × 36,307
  4. Step 4: Simplify right side
    26,437x = 1,318,198,249
  5. Step 5: Solve for x
    x = 1,318,198,249/26,437
  6. Step 6: Final answer
    x = 49,861.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.