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Finding the Third Proportional to 36,969 and 57,918.75

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Solution

The third proportional to 36,969 and 57,918.75 is: 90,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,969 : 57,918.75 = 57,918.75 : x
  2. Step 2: Convert to fraction form
    36,969/57,918.75 = 57,918.75/x
  3. Step 3: Cross multiply
    36,969x = 57,918.75 × 57,918.75
  4. Step 4: Simplify right side
    36,969x = 3,354,581,601.56
  5. Step 5: Solve for x
    x = 3,354,581,601.56/36,969
  6. Step 6: Final answer
    x = 90,740.39

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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.