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Finding the Third Proportional to 6,863 and 14,455

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Solution

The third proportional to 6,863 and 14,455 is: 30,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863 : 14,455 = 14,455 : x
  2. Step 2: Convert to fraction form
    6,863/14,455 = 14,455/x
  3. Step 3: Cross multiply
    6,863x = 14,455 × 14,455
  4. Step 4: Simplify right side
    6,863x = 208,947,025
  5. Step 5: Solve for x
    x = 208,947,025/6,863
  6. Step 6: Final answer
    x = 30,445.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.