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Finding the Third Proportional to 1,703.56 and 2,563.78

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Solution

The third proportional to 1,703.56 and 2,563.78 is: 3,858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.56 : 2,563.78 = 2,563.78 : x
  2. Step 2: Convert to fraction form
    1,703.56/2,563.78 = 2,563.78/x
  3. Step 3: Cross multiply
    1,703.56x = 2,563.78 × 2,563.78
  4. Step 4: Simplify right side
    1,703.56x = 6,572,974.30
  5. Step 5: Solve for x
    x = 6,572,974.30/1,703.56
  6. Step 6: Final answer
    x = 3,858.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.