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Finding the Third Proportional to 6,875 and 10,967

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Solution

The third proportional to 6,875 and 10,967 is: 17,494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875 : 10,967 = 10,967 : x
  2. Step 2: Convert to fraction form
    6,875/10,967 = 10,967/x
  3. Step 3: Cross multiply
    6,875x = 10,967 × 10,967
  4. Step 4: Simplify right side
    6,875x = 120,275,089
  5. Step 5: Solve for x
    x = 120,275,089/6,875
  6. Step 6: Final answer
    x = 17,494.56

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.