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Finding the Third Proportional to 2,097 and 3,071

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Solution

The third proportional to 2,097 and 3,071 is: 4,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097 : 3,071 = 3,071 : x
  2. Step 2: Convert to fraction form
    2,097/3,071 = 3,071/x
  3. Step 3: Cross multiply
    2,097x = 3,071 × 3,071
  4. Step 4: Simplify right side
    2,097x = 9,431,041
  5. Step 5: Solve for x
    x = 9,431,041/2,097
  6. Step 6: Final answer
    x = 4,497.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.