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Finding the Third Proportional to 6,075 and 8,076

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Solution

The third proportional to 6,075 and 8,076 is: 10,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075 : 8,076 = 8,076 : x
  2. Step 2: Convert to fraction form
    6,075/8,076 = 8,076/x
  3. Step 3: Cross multiply
    6,075x = 8,076 × 8,076
  4. Step 4: Simplify right side
    6,075x = 65,221,776
  5. Step 5: Solve for x
    x = 65,221,776/6,075
  6. Step 6: Final answer
    x = 10,736.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.