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Finding the Third Proportional to 8,376.75 and 12,674.25

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Solution

The third proportional to 8,376.75 and 12,674.25 is: 19,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,376.75 : 12,674.25 = 12,674.25 : x
  2. Step 2: Convert to fraction form
    8,376.75/12,674.25 = 12,674.25/x
  3. Step 3: Cross multiply
    8,376.75x = 12,674.25 × 12,674.25
  4. Step 4: Simplify right side
    8,376.75x = 160,636,613.06
  5. Step 5: Solve for x
    x = 160,636,613.06/8,376.75
  6. Step 6: Final answer
    x = 19,176.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.