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Finding the Third Proportional to 3,392.50 and 4,870.75

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Solution

The third proportional to 3,392.50 and 4,870.75 is: 6,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.50 : 4,870.75 = 4,870.75 : x
  2. Step 2: Convert to fraction form
    3,392.50/4,870.75 = 4,870.75/x
  3. Step 3: Cross multiply
    3,392.50x = 4,870.75 × 4,870.75
  4. Step 4: Simplify right side
    3,392.50x = 23,724,205.56
  5. Step 5: Solve for x
    x = 23,724,205.56/3,392.50
  6. Step 6: Final answer
    x = 6,993.13

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.