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Finding the Third Proportional to 3,464.65 and 7,056.49

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Solution

The third proportional to 3,464.65 and 7,056.49 is: 14,372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.65 : 7,056.49 = 7,056.49 : x
  2. Step 2: Convert to fraction form
    3,464.65/7,056.49 = 7,056.49/x
  3. Step 3: Cross multiply
    3,464.65x = 7,056.49 × 7,056.49
  4. Step 4: Simplify right side
    3,464.65x = 49,794,081.99
  5. Step 5: Solve for x
    x = 49,794,081.99/3,464.65
  6. Step 6: Final answer
    x = 14,372.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.