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Finding the Third Proportional to 27,452.25 and 37,289.25

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Solution

The third proportional to 27,452.25 and 37,289.25 is: 50,651.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,452.25 : 37,289.25 = 37,289.25 : x
  2. Step 2: Convert to fraction form
    27,452.25/37,289.25 = 37,289.25/x
  3. Step 3: Cross multiply
    27,452.25x = 37,289.25 × 37,289.25
  4. Step 4: Simplify right side
    27,452.25x = 1,390,488,165.56
  5. Step 5: Solve for x
    x = 1,390,488,165.56/27,452.25
  6. Step 6: Final answer
    x = 50,651.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.