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Finding the Third Proportional to 38,630 and 61,401

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Solution

The third proportional to 38,630 and 61,401 is: 97,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,630 : 61,401 = 61,401 : x
  2. Step 2: Convert to fraction form
    38,630/61,401 = 61,401/x
  3. Step 3: Cross multiply
    38,630x = 61,401 × 61,401
  4. Step 4: Simplify right side
    38,630x = 3,770,082,801
  5. Step 5: Solve for x
    x = 3,770,082,801/38,630
  6. Step 6: Final answer
    x = 97,594.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.