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Finding the Third Proportional to 3,570.94 and 7,833.94

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Solution

The third proportional to 3,570.94 and 7,833.94 is: 17,186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.94 : 7,833.94 = 7,833.94 : x
  2. Step 2: Convert to fraction form
    3,570.94/7,833.94 = 7,833.94/x
  3. Step 3: Cross multiply
    3,570.94x = 7,833.94 × 7,833.94
  4. Step 4: Simplify right side
    3,570.94x = 61,370,576.75
  5. Step 5: Solve for x
    x = 61,370,576.75/3,570.94
  6. Step 6: Final answer
    x = 17,186.12

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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.