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Finding the Third Proportional to 2,075 and 4,476

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Solution

The third proportional to 2,075 and 4,476 is: 9,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075 : 4,476 = 4,476 : x
  2. Step 2: Convert to fraction form
    2,075/4,476 = 4,476/x
  3. Step 3: Cross multiply
    2,075x = 4,476 × 4,476
  4. Step 4: Simplify right side
    2,075x = 20,034,576
  5. Step 5: Solve for x
    x = 20,034,576/2,075
  6. Step 6: Final answer
    x = 9,655.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.