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Finding the Third Proportional to 30,523.50 and 48,390.75

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Solution

The third proportional to 30,523.50 and 48,390.75 is: 76,716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,523.50 : 48,390.75 = 48,390.75 : x
  2. Step 2: Convert to fraction form
    30,523.50/48,390.75 = 48,390.75/x
  3. Step 3: Cross multiply
    30,523.50x = 48,390.75 × 48,390.75
  4. Step 4: Simplify right side
    30,523.50x = 2,341,664,685.56
  5. Step 5: Solve for x
    x = 2,341,664,685.56/30,523.50
  6. Step 6: Final answer
    x = 76,716.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.