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Finding the Third Proportional to 1,600.03 and 2,329.73

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Solution

The third proportional to 1,600.03 and 2,329.73 is: 3,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.03 : 2,329.73 = 2,329.73 : x
  2. Step 2: Convert to fraction form
    1,600.03/2,329.73 = 2,329.73/x
  3. Step 3: Cross multiply
    1,600.03x = 2,329.73 × 2,329.73
  4. Step 4: Simplify right side
    1,600.03x = 5,427,662.26
  5. Step 5: Solve for x
    x = 5,427,662.26/1,600.03
  6. Step 6: Final answer
    x = 3,392.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.