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Finding the Third Proportional to 38,363.63 and 47,202.75

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Solution

The third proportional to 38,363.63 and 47,202.75 is: 58,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,363.63 : 47,202.75 = 47,202.75 : x
  2. Step 2: Convert to fraction form
    38,363.63/47,202.75 = 47,202.75/x
  3. Step 3: Cross multiply
    38,363.63x = 47,202.75 × 47,202.75
  4. Step 4: Simplify right side
    38,363.63x = 2,228,099,607.56
  5. Step 5: Solve for x
    x = 2,228,099,607.56/38,363.63
  6. Step 6: Final answer
    x = 58,078.44

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These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.