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Finding the Third Proportional to 26,497 and 37,138

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Solution

The third proportional to 26,497 and 37,138 is: 52,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,497 : 37,138 = 37,138 : x
  2. Step 2: Convert to fraction form
    26,497/37,138 = 37,138/x
  3. Step 3: Cross multiply
    26,497x = 37,138 × 37,138
  4. Step 4: Simplify right side
    26,497x = 1,379,231,044
  5. Step 5: Solve for x
    x = 1,379,231,044/26,497
  6. Step 6: Final answer
    x = 52,052.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.