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Finding the Third Proportional to 3,898 and 5,888

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Solution

The third proportional to 3,898 and 5,888 is: 8,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898 : 5,888 = 5,888 : x
  2. Step 2: Convert to fraction form
    3,898/5,888 = 5,888/x
  3. Step 3: Cross multiply
    3,898x = 5,888 × 5,888
  4. Step 4: Simplify right side
    3,898x = 34,668,544
  5. Step 5: Solve for x
    x = 34,668,544/3,898
  6. Step 6: Final answer
    x = 8,893.93

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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.