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Finding the Third Proportional to 19,635 and 43,158

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Solution

The third proportional to 19,635 and 43,158 is: 94,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,635 : 43,158 = 43,158 : x
  2. Step 2: Convert to fraction form
    19,635/43,158 = 43,158/x
  3. Step 3: Cross multiply
    19,635x = 43,158 × 43,158
  4. Step 4: Simplify right side
    19,635x = 1,862,612,964
  5. Step 5: Solve for x
    x = 1,862,612,964/19,635
  6. Step 6: Final answer
    x = 94,861.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.