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Finding the Third Proportional to 6,880 and 11,712

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Solution

The third proportional to 6,880 and 11,712 is: 19,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880 : 11,712 = 11,712 : x
  2. Step 2: Convert to fraction form
    6,880/11,712 = 11,712/x
  3. Step 3: Cross multiply
    6,880x = 11,712 × 11,712
  4. Step 4: Simplify right side
    6,880x = 137,170,944
  5. Step 5: Solve for x
    x = 137,170,944/6,880
  6. Step 6: Final answer
    x = 19,937.64

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.