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Finding the Third Proportional to 35,427 and 47,236.50

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Solution

The third proportional to 35,427 and 47,236.50 is: 62,982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,427 : 47,236.50 = 47,236.50 : x
  2. Step 2: Convert to fraction form
    35,427/47,236.50 = 47,236.50/x
  3. Step 3: Cross multiply
    35,427x = 47,236.50 × 47,236.50
  4. Step 4: Simplify right side
    35,427x = 2,231,286,932.25
  5. Step 5: Solve for x
    x = 2,231,286,932.25/35,427
  6. Step 6: Final answer
    x = 62,982.67

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.