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Finding the Third Proportional to 6,453 and 13,498.31

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Solution

The third proportional to 6,453 and 13,498.31 is: 28,235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453 : 13,498.31 = 13,498.31 : x
  2. Step 2: Convert to fraction form
    6,453/13,498.31 = 13,498.31/x
  3. Step 3: Cross multiply
    6,453x = 13,498.31 × 13,498.31
  4. Step 4: Simplify right side
    6,453x = 182,204,440.35
  5. Step 5: Solve for x
    x = 182,204,440.35/6,453
  6. Step 6: Final answer
    x = 28,235.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.