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Finding the Third Proportional to 8,285.63 and 12,846.94

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Solution

The third proportional to 8,285.63 and 12,846.94 is: 19,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.63 : 12,846.94 = 12,846.94 : x
  2. Step 2: Convert to fraction form
    8,285.63/12,846.94 = 12,846.94/x
  3. Step 3: Cross multiply
    8,285.63x = 12,846.94 × 12,846.94
  4. Step 4: Simplify right side
    8,285.63x = 165,043,803.13
  5. Step 5: Solve for x
    x = 165,043,803.13/8,285.63
  6. Step 6: Final answer
    x = 19,919.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.