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Finding the Third Proportional to 36,907.50 and 54,131

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Solution

The third proportional to 36,907.50 and 54,131 is: 79,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,907.50 : 54,131 = 54,131 : x
  2. Step 2: Convert to fraction form
    36,907.50/54,131 = 54,131/x
  3. Step 3: Cross multiply
    36,907.50x = 54,131 × 54,131
  4. Step 4: Simplify right side
    36,907.50x = 2,930,165,161
  5. Step 5: Solve for x
    x = 2,930,165,161/36,907.50
  6. Step 6: Final answer
    x = 79,392.13

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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.