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Finding the Third Proportional to 937.13 and 2,004.05

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Solution

The third proportional to 937.13 and 2,004.05 is: 4,285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.13 : 2,004.05 = 2,004.05 : x
  2. Step 2: Convert to fraction form
    937.13/2,004.05 = 2,004.05/x
  3. Step 3: Cross multiply
    937.13x = 2,004.05 × 2,004.05
  4. Step 4: Simplify right side
    937.13x = 4,016,203.88
  5. Step 5: Solve for x
    x = 4,016,203.88/937.13
  6. Step 6: Final answer
    x = 4,285.67

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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.