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Finding the Third Proportional to 3,574.69 and 7,680.94

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Solution

The third proportional to 3,574.69 and 7,680.94 is: 16,504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.69 : 7,680.94 = 7,680.94 : x
  2. Step 2: Convert to fraction form
    3,574.69/7,680.94 = 7,680.94/x
  3. Step 3: Cross multiply
    3,574.69x = 7,680.94 × 7,680.94
  4. Step 4: Simplify right side
    3,574.69x = 58,996,800.88
  5. Step 5: Solve for x
    x = 58,996,800.88/3,574.69
  6. Step 6: Final answer
    x = 16,504.04

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Why These Related Problems?

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