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Finding the Third Proportional to 6,908.63 and 12,723.75

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Solution

The third proportional to 6,908.63 and 12,723.75 is: 23,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.63 : 12,723.75 = 12,723.75 : x
  2. Step 2: Convert to fraction form
    6,908.63/12,723.75 = 12,723.75/x
  3. Step 3: Cross multiply
    6,908.63x = 12,723.75 × 12,723.75
  4. Step 4: Simplify right side
    6,908.63x = 161,893,814.06
  5. Step 5: Solve for x
    x = 161,893,814.06/6,908.63
  6. Step 6: Final answer
    x = 23,433.58

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.