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Finding the Third Proportional to 36,573.19 and 57,387.09

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Solution

The third proportional to 36,573.19 and 57,387.09 is: 90,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,573.19 : 57,387.09 = 57,387.09 : x
  2. Step 2: Convert to fraction form
    36,573.19/57,387.09 = 57,387.09/x
  3. Step 3: Cross multiply
    36,573.19x = 57,387.09 × 57,387.09
  4. Step 4: Simplify right side
    36,573.19x = 3,293,278,529.07
  5. Step 5: Solve for x
    x = 3,293,278,529.07/36,573.19
  6. Step 6: Final answer
    x = 90,046.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.