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Finding the Third Proportional to 17,595 and 23,903

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Solution

The third proportional to 17,595 and 23,903 is: 32,472.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,595 : 23,903 = 23,903 : x
  2. Step 2: Convert to fraction form
    17,595/23,903 = 23,903/x
  3. Step 3: Cross multiply
    17,595x = 23,903 × 23,903
  4. Step 4: Simplify right side
    17,595x = 571,353,409
  5. Step 5: Solve for x
    x = 571,353,409/17,595
  6. Step 6: Final answer
    x = 32,472.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.