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Finding the Third Proportional to 30,624 and 45,903

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Solution

The third proportional to 30,624 and 45,903 is: 68,805.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,624 : 45,903 = 45,903 : x
  2. Step 2: Convert to fraction form
    30,624/45,903 = 45,903/x
  3. Step 3: Cross multiply
    30,624x = 45,903 × 45,903
  4. Step 4: Simplify right side
    30,624x = 2,107,085,409
  5. Step 5: Solve for x
    x = 2,107,085,409/30,624
  6. Step 6: Final answer
    x = 68,805.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.