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Finding the Third Proportional to 7,967.25 and 12,075.75

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Solution

The third proportional to 7,967.25 and 12,075.75 is: 18,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.25 : 12,075.75 = 12,075.75 : x
  2. Step 2: Convert to fraction form
    7,967.25/12,075.75 = 12,075.75/x
  3. Step 3: Cross multiply
    7,967.25x = 12,075.75 × 12,075.75
  4. Step 4: Simplify right side
    7,967.25x = 145,823,738.06
  5. Step 5: Solve for x
    x = 145,823,738.06/7,967.25
  6. Step 6: Final answer
    x = 18,302.89

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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.