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Finding the Third Proportional to 43,604 and 65,234

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Solution

The third proportional to 43,604 and 65,234 is: 97,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,604 : 65,234 = 65,234 : x
  2. Step 2: Convert to fraction form
    43,604/65,234 = 65,234/x
  3. Step 3: Cross multiply
    43,604x = 65,234 × 65,234
  4. Step 4: Simplify right side
    43,604x = 4,255,474,756
  5. Step 5: Solve for x
    x = 4,255,474,756/43,604
  6. Step 6: Final answer
    x = 97,593.68

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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.