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Finding the Third Proportional to 20,883.38 and 45,229.50

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Solution

The third proportional to 20,883.38 and 45,229.50 is: 97,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883.38 : 45,229.50 = 45,229.50 : x
  2. Step 2: Convert to fraction form
    20,883.38/45,229.50 = 45,229.50/x
  3. Step 3: Cross multiply
    20,883.38x = 45,229.50 × 45,229.50
  4. Step 4: Simplify right side
    20,883.38x = 2,045,707,670.25
  5. Step 5: Solve for x
    x = 2,045,707,670.25/20,883.38
  6. Step 6: Final answer
    x = 97,958.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.