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Finding the Third Proportional to 17,314.59 and 37,277.72

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Solution

The third proportional to 17,314.59 and 37,277.72 is: 80,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,314.59 : 37,277.72 = 37,277.72 : x
  2. Step 2: Convert to fraction form
    17,314.59/37,277.72 = 37,277.72/x
  3. Step 3: Cross multiply
    17,314.59x = 37,277.72 × 37,277.72
  4. Step 4: Simplify right side
    17,314.59x = 1,389,628,315.20
  5. Step 5: Solve for x
    x = 1,389,628,315.20/17,314.59
  6. Step 6: Final answer
    x = 80,257.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.