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Finding the Third Proportional to 2,097 and 4,479

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Solution

The third proportional to 2,097 and 4,479 is: 9,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097 : 4,479 = 4,479 : x
  2. Step 2: Convert to fraction form
    2,097/4,479 = 4,479/x
  3. Step 3: Cross multiply
    2,097x = 4,479 × 4,479
  4. Step 4: Simplify right side
    2,097x = 20,061,441
  5. Step 5: Solve for x
    x = 20,061,441/2,097
  6. Step 6: Final answer
    x = 9,566.73

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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.