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Finding the Third Proportional to 6,723 and 14,362.31

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Solution

The third proportional to 6,723 and 14,362.31 is: 30,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723 : 14,362.31 = 14,362.31 : x
  2. Step 2: Convert to fraction form
    6,723/14,362.31 = 14,362.31/x
  3. Step 3: Cross multiply
    6,723x = 14,362.31 × 14,362.31
  4. Step 4: Simplify right side
    6,723x = 206,276,020.35
  5. Step 5: Solve for x
    x = 206,276,020.35/6,723
  6. Step 6: Final answer
    x = 30,682.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.