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Finding the Third Proportional to 3,224.50 and 6,870.50

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Solution

The third proportional to 3,224.50 and 6,870.50 is: 14,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.50 : 6,870.50 = 6,870.50 : x
  2. Step 2: Convert to fraction form
    3,224.50/6,870.50 = 6,870.50/x
  3. Step 3: Cross multiply
    3,224.50x = 6,870.50 × 6,870.50
  4. Step 4: Simplify right side
    3,224.50x = 47,203,770.25
  5. Step 5: Solve for x
    x = 47,203,770.25/3,224.50
  6. Step 6: Final answer
    x = 14,639.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.