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Finding the Third Proportional to 1,370.94 and 2,005.19

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Solution

The third proportional to 1,370.94 and 2,005.19 is: 2,932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.94 : 2,005.19 = 2,005.19 : x
  2. Step 2: Convert to fraction form
    1,370.94/2,005.19 = 2,005.19/x
  3. Step 3: Cross multiply
    1,370.94x = 2,005.19 × 2,005.19
  4. Step 4: Simplify right side
    1,370.94x = 4,020,776.91
  5. Step 5: Solve for x
    x = 4,020,776.91/1,370.94
  6. Step 6: Final answer
    x = 2,932.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.