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Finding the Third Proportional to 2,989 and 3,295

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Solution

The third proportional to 2,989 and 3,295 is: 3,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989 : 3,295 = 3,295 : x
  2. Step 2: Convert to fraction form
    2,989/3,295 = 3,295/x
  3. Step 3: Cross multiply
    2,989x = 3,295 × 3,295
  4. Step 4: Simplify right side
    2,989x = 10,857,025
  5. Step 5: Solve for x
    x = 10,857,025/2,989
  6. Step 6: Final answer
    x = 3,632.33

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.