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Finding the Third Proportional to 2,961 and 4,645

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Solution

The third proportional to 2,961 and 4,645 is: 7,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961 : 4,645 = 4,645 : x
  2. Step 2: Convert to fraction form
    2,961/4,645 = 4,645/x
  3. Step 3: Cross multiply
    2,961x = 4,645 × 4,645
  4. Step 4: Simplify right side
    2,961x = 21,576,025
  5. Step 5: Solve for x
    x = 21,576,025/2,961
  6. Step 6: Final answer
    x = 7,286.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.