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Finding the Third Proportional to 431.06 and 951.94

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Solution

The third proportional to 431.06 and 951.94 is: 2,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.06 : 951.94 = 951.94 : x
  2. Step 2: Convert to fraction form
    431.06/951.94 = 951.94/x
  3. Step 3: Cross multiply
    431.06x = 951.94 × 951.94
  4. Step 4: Simplify right side
    431.06x = 906,185.00
  5. Step 5: Solve for x
    x = 906,185.00/431.06
  6. Step 6: Final answer
    x = 2,102.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.