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Finding the Third Proportional to 1,890 and 2,933.72

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Solution

The third proportional to 1,890 and 2,933.72 is: 4,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890 : 2,933.72 = 2,933.72 : x
  2. Step 2: Convert to fraction form
    1,890/2,933.72 = 2,933.72/x
  3. Step 3: Cross multiply
    1,890x = 2,933.72 × 2,933.72
  4. Step 4: Simplify right side
    1,890x = 8,606,705.70
  5. Step 5: Solve for x
    x = 8,606,705.70/1,890
  6. Step 6: Final answer
    x = 4,553.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.