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Finding the Third Proportional to 1,825.50 and 4,001

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Solution

The third proportional to 1,825.50 and 4,001 is: 8,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.50 : 4,001 = 4,001 : x
  2. Step 2: Convert to fraction form
    1,825.50/4,001 = 4,001/x
  3. Step 3: Cross multiply
    1,825.50x = 4,001 × 4,001
  4. Step 4: Simplify right side
    1,825.50x = 16,008,001
  5. Step 5: Solve for x
    x = 16,008,001/1,825.50
  6. Step 6: Final answer
    x = 8,769.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.