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Finding the Third Proportional to 858.75 and 1,758.56

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Solution

The third proportional to 858.75 and 1,758.56 is: 3,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.75 : 1,758.56 = 1,758.56 : x
  2. Step 2: Convert to fraction form
    858.75/1,758.56 = 1,758.56/x
  3. Step 3: Cross multiply
    858.75x = 1,758.56 × 1,758.56
  4. Step 4: Simplify right side
    858.75x = 3,092,542.07
  5. Step 5: Solve for x
    x = 3,092,542.07/858.75
  6. Step 6: Final answer
    x = 3,601.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.