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Finding the Third Proportional to 38,240.50 and 42,546.50

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Solution

The third proportional to 38,240.50 and 42,546.50 is: 47,337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,240.50 : 42,546.50 = 42,546.50 : x
  2. Step 2: Convert to fraction form
    38,240.50/42,546.50 = 42,546.50/x
  3. Step 3: Cross multiply
    38,240.50x = 42,546.50 × 42,546.50
  4. Step 4: Simplify right side
    38,240.50x = 1,810,204,662.25
  5. Step 5: Solve for x
    x = 1,810,204,662.25/38,240.50
  6. Step 6: Final answer
    x = 47,337.37

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.