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Finding the Third Proportional to 17,147.81 and 37,437.56

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Solution

The third proportional to 17,147.81 and 37,437.56 is: 81,734.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,147.81 : 37,437.56 = 37,437.56 : x
  2. Step 2: Convert to fraction form
    17,147.81/37,437.56 = 37,437.56/x
  3. Step 3: Cross multiply
    17,147.81x = 37,437.56 × 37,437.56
  4. Step 4: Simplify right side
    17,147.81x = 1,401,571,085.94
  5. Step 5: Solve for x
    x = 1,401,571,085.94/17,147.81
  6. Step 6: Final answer
    x = 81,734.69

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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.