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Finding the Third Proportional to 14,764 and 17,950

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Solution

The third proportional to 14,764 and 17,950 is: 21,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,764 : 17,950 = 17,950 : x
  2. Step 2: Convert to fraction form
    14,764/17,950 = 17,950/x
  3. Step 3: Cross multiply
    14,764x = 17,950 × 17,950
  4. Step 4: Simplify right side
    14,764x = 322,202,500
  5. Step 5: Solve for x
    x = 322,202,500/14,764
  6. Step 6: Final answer
    x = 21,823.52

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.