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Finding the Third Proportional to 19,110 and 29,075

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Solution

The third proportional to 19,110 and 29,075 is: 44,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,110 : 29,075 = 29,075 : x
  2. Step 2: Convert to fraction form
    19,110/29,075 = 29,075/x
  3. Step 3: Cross multiply
    19,110x = 29,075 × 29,075
  4. Step 4: Simplify right side
    19,110x = 845,355,625
  5. Step 5: Solve for x
    x = 845,355,625/19,110
  6. Step 6: Final answer
    x = 44,236.30

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.