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Finding the Third Proportional to 17,313.75 and 23,191.31

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Solution

The third proportional to 17,313.75 and 23,191.31 is: 31,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,313.75 : 23,191.31 = 23,191.31 : x
  2. Step 2: Convert to fraction form
    17,313.75/23,191.31 = 23,191.31/x
  3. Step 3: Cross multiply
    17,313.75x = 23,191.31 × 23,191.31
  4. Step 4: Simplify right side
    17,313.75x = 537,836,975.47
  5. Step 5: Solve for x
    x = 537,836,975.47/17,313.75
  6. Step 6: Final answer
    x = 31,064.15

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.