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Finding the Third Proportional to 1,305.94 and 2,038.31

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Solution

The third proportional to 1,305.94 and 2,038.31 is: 3,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.94 : 2,038.31 = 2,038.31 : x
  2. Step 2: Convert to fraction form
    1,305.94/2,038.31 = 2,038.31/x
  3. Step 3: Cross multiply
    1,305.94x = 2,038.31 × 2,038.31
  4. Step 4: Simplify right side
    1,305.94x = 4,154,717.85
  5. Step 5: Solve for x
    x = 4,154,717.85/1,305.94
  6. Step 6: Final answer
    x = 3,181.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.