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Finding the Third Proportional to 3,084.75 and 6,734.25

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Solution

The third proportional to 3,084.75 and 6,734.25 is: 14,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.75 : 6,734.25 = 6,734.25 : x
  2. Step 2: Convert to fraction form
    3,084.75/6,734.25 = 6,734.25/x
  3. Step 3: Cross multiply
    3,084.75x = 6,734.25 × 6,734.25
  4. Step 4: Simplify right side
    3,084.75x = 45,350,123.06
  5. Step 5: Solve for x
    x = 45,350,123.06/3,084.75
  6. Step 6: Final answer
    x = 14,701.39

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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.