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Finding the Third Proportional to 6,509 and 8,967

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Solution

The third proportional to 6,509 and 8,967 is: 12,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509 : 8,967 = 8,967 : x
  2. Step 2: Convert to fraction form
    6,509/8,967 = 8,967/x
  3. Step 3: Cross multiply
    6,509x = 8,967 × 8,967
  4. Step 4: Simplify right side
    6,509x = 80,407,089
  5. Step 5: Solve for x
    x = 80,407,089/6,509
  6. Step 6: Final answer
    x = 12,353.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.