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Finding the Third Proportional to 901.94 and 1,933.69

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Solution

The third proportional to 901.94 and 1,933.69 is: 4,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.94 : 1,933.69 = 1,933.69 : x
  2. Step 2: Convert to fraction form
    901.94/1,933.69 = 1,933.69/x
  3. Step 3: Cross multiply
    901.94x = 1,933.69 × 1,933.69
  4. Step 4: Simplify right side
    901.94x = 3,739,147.35
  5. Step 5: Solve for x
    x = 3,739,147.35/901.94
  6. Step 6: Final answer
    x = 4,145.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.