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Finding the Third Proportional to 3,300.75 and 7,005.94

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Solution

The third proportional to 3,300.75 and 7,005.94 is: 14,870.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.75 : 7,005.94 = 7,005.94 : x
  2. Step 2: Convert to fraction form
    3,300.75/7,005.94 = 7,005.94/x
  3. Step 3: Cross multiply
    3,300.75x = 7,005.94 × 7,005.94
  4. Step 4: Simplify right side
    3,300.75x = 49,083,160.25
  5. Step 5: Solve for x
    x = 49,083,160.25/3,300.75
  6. Step 6: Final answer
    x = 14,870.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.