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Finding the Third Proportional to 851.06 and 1,677.09

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Solution

The third proportional to 851.06 and 1,677.09 is: 3,304.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.06 : 1,677.09 = 1,677.09 : x
  2. Step 2: Convert to fraction form
    851.06/1,677.09 = 1,677.09/x
  3. Step 3: Cross multiply
    851.06x = 1,677.09 × 1,677.09
  4. Step 4: Simplify right side
    851.06x = 2,812,643.45
  5. Step 5: Solve for x
    x = 2,812,643.45/851.06
  6. Step 6: Final answer
    x = 3,304.86

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.