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Finding the Third Proportional to 20,114 and 43,295

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Solution

The third proportional to 20,114 and 43,295 is: 93,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114 : 43,295 = 43,295 : x
  2. Step 2: Convert to fraction form
    20,114/43,295 = 43,295/x
  3. Step 3: Cross multiply
    20,114x = 43,295 × 43,295
  4. Step 4: Simplify right side
    20,114x = 1,874,457,025
  5. Step 5: Solve for x
    x = 1,874,457,025/20,114
  6. Step 6: Final answer
    x = 93,191.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.