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Finding the Third Proportional to 4,706.05 and 6,273.89

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Solution

The third proportional to 4,706.05 and 6,273.89 is: 8,364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.05 : 6,273.89 = 6,273.89 : x
  2. Step 2: Convert to fraction form
    4,706.05/6,273.89 = 6,273.89/x
  3. Step 3: Cross multiply
    4,706.05x = 6,273.89 × 6,273.89
  4. Step 4: Simplify right side
    4,706.05x = 39,361,703.57
  5. Step 5: Solve for x
    x = 39,361,703.57/4,706.05
  6. Step 6: Final answer
    x = 8,364.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.