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Finding the Third Proportional to 1,439.02 and 2,035.76

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Solution

The third proportional to 1,439.02 and 2,035.76 is: 2,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.02 : 2,035.76 = 2,035.76 : x
  2. Step 2: Convert to fraction form
    1,439.02/2,035.76 = 2,035.76/x
  3. Step 3: Cross multiply
    1,439.02x = 2,035.76 × 2,035.76
  4. Step 4: Simplify right side
    1,439.02x = 4,144,309.87
  5. Step 5: Solve for x
    x = 4,144,309.87/1,439.02
  6. Step 6: Final answer
    x = 2,879.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.