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Finding the Third Proportional to 2,961 and 6,451.88

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Solution

The third proportional to 2,961 and 6,451.88 is: 14,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961 : 6,451.88 = 6,451.88 : x
  2. Step 2: Convert to fraction form
    2,961/6,451.88 = 6,451.88/x
  3. Step 3: Cross multiply
    2,961x = 6,451.88 × 6,451.88
  4. Step 4: Simplify right side
    2,961x = 41,626,691.02
  5. Step 5: Solve for x
    x = 41,626,691.02/2,961
  6. Step 6: Final answer
    x = 14,058.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.