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Finding the Third Proportional to 6,896 and 9,716

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Solution

The third proportional to 6,896 and 9,716 is: 13,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896 : 9,716 = 9,716 : x
  2. Step 2: Convert to fraction form
    6,896/9,716 = 9,716/x
  3. Step 3: Cross multiply
    6,896x = 9,716 × 9,716
  4. Step 4: Simplify right side
    6,896x = 94,400,656
  5. Step 5: Solve for x
    x = 94,400,656/6,896
  6. Step 6: Final answer
    x = 13,689.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.