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Finding the Third Proportional to 30,314.75 and 36,632.75

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Solution

The third proportional to 30,314.75 and 36,632.75 is: 44,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314.75 : 36,632.75 = 36,632.75 : x
  2. Step 2: Convert to fraction form
    30,314.75/36,632.75 = 36,632.75/x
  3. Step 3: Cross multiply
    30,314.75x = 36,632.75 × 36,632.75
  4. Step 4: Simplify right side
    30,314.75x = 1,341,958,372.56
  5. Step 5: Solve for x
    x = 1,341,958,372.56/30,314.75
  6. Step 6: Final answer
    x = 44,267.51

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.