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Finding the Third Proportional to 6,965 and 10,871

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Solution

The third proportional to 6,965 and 10,871 is: 16,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965 : 10,871 = 10,871 : x
  2. Step 2: Convert to fraction form
    6,965/10,871 = 10,871/x
  3. Step 3: Cross multiply
    6,965x = 10,871 × 10,871
  4. Step 4: Simplify right side
    6,965x = 118,178,641
  5. Step 5: Solve for x
    x = 118,178,641/6,965
  6. Step 6: Final answer
    x = 16,967.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.