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Finding the Third Proportional to 17,693.44 and 38,606.63

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Solution

The third proportional to 17,693.44 and 38,606.63 is: 84,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,693.44 : 38,606.63 = 38,606.63 : x
  2. Step 2: Convert to fraction form
    17,693.44/38,606.63 = 38,606.63/x
  3. Step 3: Cross multiply
    17,693.44x = 38,606.63 × 38,606.63
  4. Step 4: Simplify right side
    17,693.44x = 1,490,471,493.89
  5. Step 5: Solve for x
    x = 1,490,471,493.89/17,693.44
  6. Step 6: Final answer
    x = 84,238.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.