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Finding the Third Proportional to 1,424.16 and 2,961.75

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Solution

The third proportional to 1,424.16 and 2,961.75 is: 6,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.16 : 2,961.75 = 2,961.75 : x
  2. Step 2: Convert to fraction form
    1,424.16/2,961.75 = 2,961.75/x
  3. Step 3: Cross multiply
    1,424.16x = 2,961.75 × 2,961.75
  4. Step 4: Simplify right side
    1,424.16x = 8,771,963.06
  5. Step 5: Solve for x
    x = 8,771,963.06/1,424.16
  6. Step 6: Final answer
    x = 6,159.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.