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Finding the Third Proportional to 30,839.50 and 48,785.25

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Solution

The third proportional to 30,839.50 and 48,785.25 is: 77,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839.50 : 48,785.25 = 48,785.25 : x
  2. Step 2: Convert to fraction form
    30,839.50/48,785.25 = 48,785.25/x
  3. Step 3: Cross multiply
    30,839.50x = 48,785.25 × 48,785.25
  4. Step 4: Simplify right side
    30,839.50x = 2,380,000,617.56
  5. Step 5: Solve for x
    x = 2,380,000,617.56/30,839.50
  6. Step 6: Final answer
    x = 77,173.77

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.