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Finding the Third Proportional to 6,089 and 12,641

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Solution

The third proportional to 6,089 and 12,641 is: 26,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089 : 12,641 = 12,641 : x
  2. Step 2: Convert to fraction form
    6,089/12,641 = 12,641/x
  3. Step 3: Cross multiply
    6,089x = 12,641 × 12,641
  4. Step 4: Simplify right side
    6,089x = 159,794,881
  5. Step 5: Solve for x
    x = 159,794,881/6,089
  6. Step 6: Final answer
    x = 26,243.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.