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Finding the Third Proportional to 24,751.50 and 37,005

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Solution

The third proportional to 24,751.50 and 37,005 is: 55,324.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751.50 : 37,005 = 37,005 : x
  2. Step 2: Convert to fraction form
    24,751.50/37,005 = 37,005/x
  3. Step 3: Cross multiply
    24,751.50x = 37,005 × 37,005
  4. Step 4: Simplify right side
    24,751.50x = 1,369,370,025
  5. Step 5: Solve for x
    x = 1,369,370,025/24,751.50
  6. Step 6: Final answer
    x = 55,324.73

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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.