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Finding the Third Proportional to 2,986 and 7,045

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Solution

The third proportional to 2,986 and 7,045 is: 16,621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986 : 7,045 = 7,045 : x
  2. Step 2: Convert to fraction form
    2,986/7,045 = 7,045/x
  3. Step 3: Cross multiply
    2,986x = 7,045 × 7,045
  4. Step 4: Simplify right side
    2,986x = 49,632,025
  5. Step 5: Solve for x
    x = 49,632,025/2,986
  6. Step 6: Final answer
    x = 16,621.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.