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Finding the Third Proportional to 6,900 and 9,754

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Solution

The third proportional to 6,900 and 9,754 is: 13,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900 : 9,754 = 9,754 : x
  2. Step 2: Convert to fraction form
    6,900/9,754 = 9,754/x
  3. Step 3: Cross multiply
    6,900x = 9,754 × 9,754
  4. Step 4: Simplify right side
    6,900x = 95,140,516
  5. Step 5: Solve for x
    x = 95,140,516/6,900
  6. Step 6: Final answer
    x = 13,788.48

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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.