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Finding the Third Proportional to 37,514.88 and 57,225.25

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Solution

The third proportional to 37,514.88 and 57,225.25 is: 87,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,514.88 : 57,225.25 = 57,225.25 : x
  2. Step 2: Convert to fraction form
    37,514.88/57,225.25 = 57,225.25/x
  3. Step 3: Cross multiply
    37,514.88x = 57,225.25 × 57,225.25
  4. Step 4: Simplify right side
    37,514.88x = 3,274,729,237.56
  5. Step 5: Solve for x
    x = 3,274,729,237.56/37,514.88
  6. Step 6: Final answer
    x = 87,291.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.