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Finding the Third Proportional to 2,080.21 and 4,446.62

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Solution

The third proportional to 2,080.21 and 4,446.62 is: 9,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.21 : 4,446.62 = 4,446.62 : x
  2. Step 2: Convert to fraction form
    2,080.21/4,446.62 = 4,446.62/x
  3. Step 3: Cross multiply
    2,080.21x = 4,446.62 × 4,446.62
  4. Step 4: Simplify right side
    2,080.21x = 19,772,387.04
  5. Step 5: Solve for x
    x = 19,772,387.04/2,080.21
  6. Step 6: Final answer
    x = 9,504.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.