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Finding the Third Proportional to 38,497 and 51,903

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Solution

The third proportional to 38,497 and 51,903 is: 69,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497 : 51,903 = 51,903 : x
  2. Step 2: Convert to fraction form
    38,497/51,903 = 51,903/x
  3. Step 3: Cross multiply
    38,497x = 51,903 × 51,903
  4. Step 4: Simplify right side
    38,497x = 2,693,921,409
  5. Step 5: Solve for x
    x = 2,693,921,409/38,497
  6. Step 6: Final answer
    x = 69,977.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.