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Finding the Third Proportional to 781.75 and 2,059.25

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Solution

The third proportional to 781.75 and 2,059.25 is: 5,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.75 : 2,059.25 = 2,059.25 : x
  2. Step 2: Convert to fraction form
    781.75/2,059.25 = 2,059.25/x
  3. Step 3: Cross multiply
    781.75x = 2,059.25 × 2,059.25
  4. Step 4: Simplify right side
    781.75x = 4,240,510.56
  5. Step 5: Solve for x
    x = 4,240,510.56/781.75
  6. Step 6: Final answer
    x = 5,424.38

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.