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Finding the Third Proportional to 5,259.75 and 10,782.75

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Solution

The third proportional to 5,259.75 and 10,782.75 is: 22,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.75 : 10,782.75 = 10,782.75 : x
  2. Step 2: Convert to fraction form
    5,259.75/10,782.75 = 10,782.75/x
  3. Step 3: Cross multiply
    5,259.75x = 10,782.75 × 10,782.75
  4. Step 4: Simplify right side
    5,259.75x = 116,267,697.56
  5. Step 5: Solve for x
    x = 116,267,697.56/5,259.75
  6. Step 6: Final answer
    x = 22,105.18

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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.