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Finding the Third Proportional to 37,467.75 and 56,449.13

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Solution

The third proportional to 37,467.75 and 56,449.13 is: 85,046.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,467.75 : 56,449.13 = 56,449.13 : x
  2. Step 2: Convert to fraction form
    37,467.75/56,449.13 = 56,449.13/x
  3. Step 3: Cross multiply
    37,467.75x = 56,449.13 × 56,449.13
  4. Step 4: Simplify right side
    37,467.75x = 3,186,503,713.27
  5. Step 5: Solve for x
    x = 3,186,503,713.27/37,467.75
  6. Step 6: Final answer
    x = 85,046.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.