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Finding the Third Proportional to 9,723 and 14,868

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Solution

The third proportional to 9,723 and 14,868 is: 22,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723 : 14,868 = 14,868 : x
  2. Step 2: Convert to fraction form
    9,723/14,868 = 14,868/x
  3. Step 3: Cross multiply
    9,723x = 14,868 × 14,868
  4. Step 4: Simplify right side
    9,723x = 221,057,424
  5. Step 5: Solve for x
    x = 221,057,424/9,723
  6. Step 6: Final answer
    x = 22,735.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.