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Finding the Third Proportional to 3,751.69 and 8,048.06

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Solution

The third proportional to 3,751.69 and 8,048.06 is: 17,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.69 : 8,048.06 = 8,048.06 : x
  2. Step 2: Convert to fraction form
    3,751.69/8,048.06 = 8,048.06/x
  3. Step 3: Cross multiply
    3,751.69x = 8,048.06 × 8,048.06
  4. Step 4: Simplify right side
    3,751.69x = 64,771,310.00
  5. Step 5: Solve for x
    x = 64,771,310.00/3,751.69
  6. Step 6: Final answer
    x = 17,264.58

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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.