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Finding the Third Proportional to 37,497 and 52,738

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Solution

The third proportional to 37,497 and 52,738 is: 74,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,497 : 52,738 = 52,738 : x
  2. Step 2: Convert to fraction form
    37,497/52,738 = 52,738/x
  3. Step 3: Cross multiply
    37,497x = 52,738 × 52,738
  4. Step 4: Simplify right side
    37,497x = 2,781,296,644
  5. Step 5: Solve for x
    x = 2,781,296,644/37,497
  6. Step 6: Final answer
    x = 74,173.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.