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Finding the Third Proportional to 17,286.70 and 37,828.27

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Solution

The third proportional to 17,286.70 and 37,828.27 is: 82,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,286.70 : 37,828.27 = 37,828.27 : x
  2. Step 2: Convert to fraction form
    17,286.70/37,828.27 = 37,828.27/x
  3. Step 3: Cross multiply
    17,286.70x = 37,828.27 × 37,828.27
  4. Step 4: Simplify right side
    17,286.70x = 1,430,977,680.20
  5. Step 5: Solve for x
    x = 1,430,977,680.20/17,286.70
  6. Step 6: Final answer
    x = 82,779.13

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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.