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Finding the Third Proportional to 17,301.63 and 37,834.25

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Solution

The third proportional to 17,301.63 and 37,834.25 is: 82,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,301.63 : 37,834.25 = 37,834.25 : x
  2. Step 2: Convert to fraction form
    17,301.63/37,834.25 = 37,834.25/x
  3. Step 3: Cross multiply
    17,301.63x = 37,834.25 × 37,834.25
  4. Step 4: Simplify right side
    17,301.63x = 1,431,430,473.06
  5. Step 5: Solve for x
    x = 1,431,430,473.06/17,301.63
  6. Step 6: Final answer
    x = 82,733.87

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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.