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Finding the Third Proportional to 8,856 and 12,804.75

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Solution

The third proportional to 8,856 and 12,804.75 is: 18,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,856 : 12,804.75 = 12,804.75 : x
  2. Step 2: Convert to fraction form
    8,856/12,804.75 = 12,804.75/x
  3. Step 3: Cross multiply
    8,856x = 12,804.75 × 12,804.75
  4. Step 4: Simplify right side
    8,856x = 163,961,622.56
  5. Step 5: Solve for x
    x = 163,961,622.56/8,856
  6. Step 6: Final answer
    x = 18,514.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.