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Finding the Third Proportional to 2,080 and 4,544

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Solution

The third proportional to 2,080 and 4,544 is: 9,926.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080 : 4,544 = 4,544 : x
  2. Step 2: Convert to fraction form
    2,080/4,544 = 4,544/x
  3. Step 3: Cross multiply
    2,080x = 4,544 × 4,544
  4. Step 4: Simplify right side
    2,080x = 20,647,936
  5. Step 5: Solve for x
    x = 20,647,936/2,080
  6. Step 6: Final answer
    x = 9,926.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.