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Finding the Third Proportional to 2,322 and 4,176

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Solution

The third proportional to 2,322 and 4,176 is: 7,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322 : 4,176 = 4,176 : x
  2. Step 2: Convert to fraction form
    2,322/4,176 = 4,176/x
  3. Step 3: Cross multiply
    2,322x = 4,176 × 4,176
  4. Step 4: Simplify right side
    2,322x = 17,438,976
  5. Step 5: Solve for x
    x = 17,438,976/2,322
  6. Step 6: Final answer
    x = 7,510.33

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.