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Finding the Third Proportional to 6,856 and 9,707

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Solution

The third proportional to 6,856 and 9,707 is: 13,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856 : 9,707 = 9,707 : x
  2. Step 2: Convert to fraction form
    6,856/9,707 = 9,707/x
  3. Step 3: Cross multiply
    6,856x = 9,707 × 9,707
  4. Step 4: Simplify right side
    6,856x = 94,225,849
  5. Step 5: Solve for x
    x = 94,225,849/6,856
  6. Step 6: Final answer
    x = 13,743.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.