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Finding the Third Proportional to 6,075 and 13,285

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Solution

The third proportional to 6,075 and 13,285 is: 29,052.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075 : 13,285 = 13,285 : x
  2. Step 2: Convert to fraction form
    6,075/13,285 = 13,285/x
  3. Step 3: Cross multiply
    6,075x = 13,285 × 13,285
  4. Step 4: Simplify right side
    6,075x = 176,491,225
  5. Step 5: Solve for x
    x = 176,491,225/6,075
  6. Step 6: Final answer
    x = 29,052.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.