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Finding the Third Proportional to 3,416.65 and 7,467.62

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Solution

The third proportional to 3,416.65 and 7,467.62 is: 16,321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.65 : 7,467.62 = 7,467.62 : x
  2. Step 2: Convert to fraction form
    3,416.65/7,467.62 = 7,467.62/x
  3. Step 3: Cross multiply
    3,416.65x = 7,467.62 × 7,467.62
  4. Step 4: Simplify right side
    3,416.65x = 55,765,386.68
  5. Step 5: Solve for x
    x = 55,765,386.68/3,416.65
  6. Step 6: Final answer
    x = 16,321.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.