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Finding the Third Proportional to 30,169 and 32,903

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Solution

The third proportional to 30,169 and 32,903 is: 35,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169 : 32,903 = 32,903 : x
  2. Step 2: Convert to fraction form
    30,169/32,903 = 32,903/x
  3. Step 3: Cross multiply
    30,169x = 32,903 × 32,903
  4. Step 4: Simplify right side
    30,169x = 1,082,607,409
  5. Step 5: Solve for x
    x = 1,082,607,409/30,169
  6. Step 6: Final answer
    x = 35,884.76

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.