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Finding the Third Proportional to 8,084.25 and 11,410.88

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Solution

The third proportional to 8,084.25 and 11,410.88 is: 16,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.25 : 11,410.88 = 11,410.88 : x
  2. Step 2: Convert to fraction form
    8,084.25/11,410.88 = 11,410.88/x
  3. Step 3: Cross multiply
    8,084.25x = 11,410.88 × 11,410.88
  4. Step 4: Simplify right side
    8,084.25x = 130,208,068.27
  5. Step 5: Solve for x
    x = 130,208,068.27/8,084.25
  6. Step 6: Final answer
    x = 16,106.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.