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Finding the Third Proportional to 6,089 and 7,996

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Solution

The third proportional to 6,089 and 7,996 is: 10,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089 : 7,996 = 7,996 : x
  2. Step 2: Convert to fraction form
    6,089/7,996 = 7,996/x
  3. Step 3: Cross multiply
    6,089x = 7,996 × 7,996
  4. Step 4: Simplify right side
    6,089x = 63,936,016
  5. Step 5: Solve for x
    x = 63,936,016/6,089
  6. Step 6: Final answer
    x = 10,500.25

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.