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Finding the Third Proportional to 2,961 and 5,445

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Solution

The third proportional to 2,961 and 5,445 is: 10,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961 : 5,445 = 5,445 : x
  2. Step 2: Convert to fraction form
    2,961/5,445 = 5,445/x
  3. Step 3: Cross multiply
    2,961x = 5,445 × 5,445
  4. Step 4: Simplify right side
    2,961x = 29,648,025
  5. Step 5: Solve for x
    x = 29,648,025/2,961
  6. Step 6: Final answer
    x = 10,012.84

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.