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Finding the Third Proportional to 30,486 and 45,809

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Solution

The third proportional to 30,486 and 45,809 is: 68,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486 : 45,809 = 45,809 : x
  2. Step 2: Convert to fraction form
    30,486/45,809 = 45,809/x
  3. Step 3: Cross multiply
    30,486x = 45,809 × 45,809
  4. Step 4: Simplify right side
    30,486x = 2,098,464,481
  5. Step 5: Solve for x
    x = 2,098,464,481/30,486
  6. Step 6: Final answer
    x = 68,833.71

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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.