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Finding the Third Proportional to 12,769.75 and 27,075.50

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Solution

The third proportional to 12,769.75 and 27,075.50 is: 57,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.75 : 27,075.50 = 27,075.50 : x
  2. Step 2: Convert to fraction form
    12,769.75/27,075.50 = 27,075.50/x
  3. Step 3: Cross multiply
    12,769.75x = 27,075.50 × 27,075.50
  4. Step 4: Simplify right side
    12,769.75x = 733,082,700.25
  5. Step 5: Solve for x
    x = 733,082,700.25/12,769.75
  6. Step 6: Final answer
    x = 57,407.76

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.