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Finding the Third Proportional to 3,711.23 and 5,445.14

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Solution

The third proportional to 3,711.23 and 5,445.14 is: 7,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.23 : 5,445.14 = 5,445.14 : x
  2. Step 2: Convert to fraction form
    3,711.23/5,445.14 = 5,445.14/x
  3. Step 3: Cross multiply
    3,711.23x = 5,445.14 × 5,445.14
  4. Step 4: Simplify right side
    3,711.23x = 29,649,556.43
  5. Step 5: Solve for x
    x = 29,649,556.43/3,711.23
  6. Step 6: Final answer
    x = 7,989.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.