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Finding the Third Proportional to 1,932 and 4,476

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Solution

The third proportional to 1,932 and 4,476 is: 10,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932 : 4,476 = 4,476 : x
  2. Step 2: Convert to fraction form
    1,932/4,476 = 4,476/x
  3. Step 3: Cross multiply
    1,932x = 4,476 × 4,476
  4. Step 4: Simplify right side
    1,932x = 20,034,576
  5. Step 5: Solve for x
    x = 20,034,576/1,932
  6. Step 6: Final answer
    x = 10,369.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.