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Finding the Third Proportional to 30,401 and 45,479

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Solution

The third proportional to 30,401 and 45,479 is: 68,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,401 : 45,479 = 45,479 : x
  2. Step 2: Convert to fraction form
    30,401/45,479 = 45,479/x
  3. Step 3: Cross multiply
    30,401x = 45,479 × 45,479
  4. Step 4: Simplify right side
    30,401x = 2,068,339,441
  5. Step 5: Solve for x
    x = 2,068,339,441/30,401
  6. Step 6: Final answer
    x = 68,035.24

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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.