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Finding the Third Proportional to 8,484.75 and 11,723.48

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Solution

The third proportional to 8,484.75 and 11,723.48 is: 16,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.75 : 11,723.48 = 11,723.48 : x
  2. Step 2: Convert to fraction form
    8,484.75/11,723.48 = 11,723.48/x
  3. Step 3: Cross multiply
    8,484.75x = 11,723.48 × 11,723.48
  4. Step 4: Simplify right side
    8,484.75x = 137,440,085.89
  5. Step 5: Solve for x
    x = 137,440,085.89/8,484.75
  6. Step 6: Final answer
    x = 16,198.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.