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Finding the Third Proportional to 12,474.50 and 19,075.75

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Solution

The third proportional to 12,474.50 and 19,075.75 is: 29,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.50 : 19,075.75 = 19,075.75 : x
  2. Step 2: Convert to fraction form
    12,474.50/19,075.75 = 19,075.75/x
  3. Step 3: Cross multiply
    12,474.50x = 19,075.75 × 19,075.75
  4. Step 4: Simplify right side
    12,474.50x = 363,884,238.06
  5. Step 5: Solve for x
    x = 363,884,238.06/12,474.50
  6. Step 6: Final answer
    x = 29,170.25

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