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Finding the Third Proportional to 24,682 and 37,050

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Solution

The third proportional to 24,682 and 37,050 is: 55,615.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,682 : 37,050 = 37,050 : x
  2. Step 2: Convert to fraction form
    24,682/37,050 = 37,050/x
  3. Step 3: Cross multiply
    24,682x = 37,050 × 37,050
  4. Step 4: Simplify right side
    24,682x = 1,372,702,500
  5. Step 5: Solve for x
    x = 1,372,702,500/24,682
  6. Step 6: Final answer
    x = 55,615.53

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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.