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Finding the Third Proportional to 3,160.90 and 5,924.55

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Solution

The third proportional to 3,160.90 and 5,924.55 is: 11,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.90 : 5,924.55 = 5,924.55 : x
  2. Step 2: Convert to fraction form
    3,160.90/5,924.55 = 5,924.55/x
  3. Step 3: Cross multiply
    3,160.90x = 5,924.55 × 5,924.55
  4. Step 4: Simplify right side
    3,160.90x = 35,100,278.82
  5. Step 5: Solve for x
    x = 35,100,278.82/3,160.90
  6. Step 6: Final answer
    x = 11,104.53

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.