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Finding the Third Proportional to 1,832.50 and 4,255

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Solution

The third proportional to 1,832.50 and 4,255 is: 9,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.50 : 4,255 = 4,255 : x
  2. Step 2: Convert to fraction form
    1,832.50/4,255 = 4,255/x
  3. Step 3: Cross multiply
    1,832.50x = 4,255 × 4,255
  4. Step 4: Simplify right side
    1,832.50x = 18,105,025
  5. Step 5: Solve for x
    x = 18,105,025/1,832.50
  6. Step 6: Final answer
    x = 9,879.96

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.