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Finding the Third Proportional to 36,975.75 and 40,734.75

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Solution

The third proportional to 36,975.75 and 40,734.75 is: 44,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,975.75 : 40,734.75 = 40,734.75 : x
  2. Step 2: Convert to fraction form
    36,975.75/40,734.75 = 40,734.75/x
  3. Step 3: Cross multiply
    36,975.75x = 40,734.75 × 40,734.75
  4. Step 4: Simplify right side
    36,975.75x = 1,659,319,857.56
  5. Step 5: Solve for x
    x = 1,659,319,857.56/36,975.75
  6. Step 6: Final answer
    x = 44,875.89

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.