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Finding the Third Proportional to 9,823 and 14,756

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Solution

The third proportional to 9,823 and 14,756 is: 22,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823 : 14,756 = 14,756 : x
  2. Step 2: Convert to fraction form
    9,823/14,756 = 14,756/x
  3. Step 3: Cross multiply
    9,823x = 14,756 × 14,756
  4. Step 4: Simplify right side
    9,823x = 217,739,536
  5. Step 5: Solve for x
    x = 217,739,536/9,823
  6. Step 6: Final answer
    x = 22,166.30

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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.