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Finding the Third Proportional to 30,401 and 48,566

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Solution

The third proportional to 30,401 and 48,566 is: 77,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,401 : 48,566 = 48,566 : x
  2. Step 2: Convert to fraction form
    30,401/48,566 = 48,566/x
  3. Step 3: Cross multiply
    30,401x = 48,566 × 48,566
  4. Step 4: Simplify right side
    30,401x = 2,358,656,356
  5. Step 5: Solve for x
    x = 2,358,656,356/30,401
  6. Step 6: Final answer
    x = 77,584.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.