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Finding the Third Proportional to 1,632 and 4,003

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Solution

The third proportional to 1,632 and 4,003 is: 9,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632 : 4,003 = 4,003 : x
  2. Step 2: Convert to fraction form
    1,632/4,003 = 4,003/x
  3. Step 3: Cross multiply
    1,632x = 4,003 × 4,003
  4. Step 4: Simplify right side
    1,632x = 16,024,009
  5. Step 5: Solve for x
    x = 16,024,009/1,632
  6. Step 6: Final answer
    x = 9,818.63

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.