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Finding the Third Proportional to 24,697.50 and 39,234

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Solution

The third proportional to 24,697.50 and 39,234 is: 62,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.50 : 39,234 = 39,234 : x
  2. Step 2: Convert to fraction form
    24,697.50/39,234 = 39,234/x
  3. Step 3: Cross multiply
    24,697.50x = 39,234 × 39,234
  4. Step 4: Simplify right side
    24,697.50x = 1,539,306,756
  5. Step 5: Solve for x
    x = 1,539,306,756/24,697.50
  6. Step 6: Final answer
    x = 62,326.42

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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.