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Finding the Third Proportional to 12,075 and 16,248

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Solution

The third proportional to 12,075 and 16,248 is: 21,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075 : 16,248 = 16,248 : x
  2. Step 2: Convert to fraction form
    12,075/16,248 = 16,248/x
  3. Step 3: Cross multiply
    12,075x = 16,248 × 16,248
  4. Step 4: Simplify right side
    12,075x = 263,997,504
  5. Step 5: Solve for x
    x = 263,997,504/12,075
  6. Step 6: Final answer
    x = 21,863.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.