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Finding the Third Proportional to 3,534 and 5,889

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Solution

The third proportional to 3,534 and 5,889 is: 9,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534 : 5,889 = 5,889 : x
  2. Step 2: Convert to fraction form
    3,534/5,889 = 5,889/x
  3. Step 3: Cross multiply
    3,534x = 5,889 × 5,889
  4. Step 4: Simplify right side
    3,534x = 34,680,321
  5. Step 5: Solve for x
    x = 34,680,321/3,534
  6. Step 6: Final answer
    x = 9,813.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.