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Finding the Third Proportional to 6,518 and 9,754

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Solution

The third proportional to 6,518 and 9,754 is: 14,596.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518 : 9,754 = 9,754 : x
  2. Step 2: Convert to fraction form
    6,518/9,754 = 9,754/x
  3. Step 3: Cross multiply
    6,518x = 9,754 × 9,754
  4. Step 4: Simplify right side
    6,518x = 95,140,516
  5. Step 5: Solve for x
    x = 95,140,516/6,518
  6. Step 6: Final answer
    x = 14,596.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.