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Finding the Third Proportional to 20,842.75 and 45,638.38

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Solution

The third proportional to 20,842.75 and 45,638.38 is: 99,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.75 : 45,638.38 = 45,638.38 : x
  2. Step 2: Convert to fraction form
    20,842.75/45,638.38 = 45,638.38/x
  3. Step 3: Cross multiply
    20,842.75x = 45,638.38 × 45,638.38
  4. Step 4: Simplify right side
    20,842.75x = 2,082,861,272.64
  5. Step 5: Solve for x
    x = 2,082,861,272.64/20,842.75
  6. Step 6: Final answer
    x = 99,932.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.