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Finding the Third Proportional to 3,084.50 and 4,518.25

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Solution

The third proportional to 3,084.50 and 4,518.25 is: 6,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.50 : 4,518.25 = 4,518.25 : x
  2. Step 2: Convert to fraction form
    3,084.50/4,518.25 = 4,518.25/x
  3. Step 3: Cross multiply
    3,084.50x = 4,518.25 × 4,518.25
  4. Step 4: Simplify right side
    3,084.50x = 20,414,583.06
  5. Step 5: Solve for x
    x = 20,414,583.06/3,084.50
  6. Step 6: Final answer
    x = 6,618.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.