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Finding the Third Proportional to 17,527.31 and 38,027.81

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Solution

The third proportional to 17,527.31 and 38,027.81 is: 82,506.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.31 : 38,027.81 = 38,027.81 : x
  2. Step 2: Convert to fraction form
    17,527.31/38,027.81 = 38,027.81/x
  3. Step 3: Cross multiply
    17,527.31x = 38,027.81 × 38,027.81
  4. Step 4: Simplify right side
    17,527.31x = 1,446,114,523.54
  5. Step 5: Solve for x
    x = 1,446,114,523.54/17,527.31
  6. Step 6: Final answer
    x = 82,506.35

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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.