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Finding the Third Proportional to 1,479.94 and 2,039.34

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Solution

The third proportional to 1,479.94 and 2,039.34 is: 2,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.94 : 2,039.34 = 2,039.34 : x
  2. Step 2: Convert to fraction form
    1,479.94/2,039.34 = 2,039.34/x
  3. Step 3: Cross multiply
    1,479.94x = 2,039.34 × 2,039.34
  4. Step 4: Simplify right side
    1,479.94x = 4,158,922.93
  5. Step 5: Solve for x
    x = 4,158,922.93/1,479.94
  6. Step 6: Final answer
    x = 2,810.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.