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Finding the Third Proportional to 14,284 and 30,296

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Solution

The third proportional to 14,284 and 30,296 is: 64,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284 : 30,296 = 30,296 : x
  2. Step 2: Convert to fraction form
    14,284/30,296 = 30,296/x
  3. Step 3: Cross multiply
    14,284x = 30,296 × 30,296
  4. Step 4: Simplify right side
    14,284x = 917,847,616
  5. Step 5: Solve for x
    x = 917,847,616/14,284
  6. Step 6: Final answer
    x = 64,257.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.