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Finding the Third Proportional to 12,769 and 19,075

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Solution

The third proportional to 12,769 and 19,075 is: 28,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769 : 19,075 = 19,075 : x
  2. Step 2: Convert to fraction form
    12,769/19,075 = 19,075/x
  3. Step 3: Cross multiply
    12,769x = 19,075 × 19,075
  4. Step 4: Simplify right side
    12,769x = 363,855,625
  5. Step 5: Solve for x
    x = 363,855,625/12,769
  6. Step 6: Final answer
    x = 28,495.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.