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Finding the Third Proportional to 6,284.25 and 12,409.88

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Solution

The third proportional to 6,284.25 and 12,409.88 is: 24,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.25 : 12,409.88 = 12,409.88 : x
  2. Step 2: Convert to fraction form
    6,284.25/12,409.88 = 12,409.88/x
  3. Step 3: Cross multiply
    6,284.25x = 12,409.88 × 12,409.88
  4. Step 4: Simplify right side
    6,284.25x = 154,004,997.52
  5. Step 5: Solve for x
    x = 154,004,997.52/6,284.25
  6. Step 6: Final answer
    x = 24,506.50

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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.