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Finding the Third Proportional to 3,322 and 4,746

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Solution

The third proportional to 3,322 and 4,746 is: 6,780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322 : 4,746 = 4,746 : x
  2. Step 2: Convert to fraction form
    3,322/4,746 = 4,746/x
  3. Step 3: Cross multiply
    3,322x = 4,746 × 4,746
  4. Step 4: Simplify right side
    3,322x = 22,524,516
  5. Step 5: Solve for x
    x = 22,524,516/3,322
  6. Step 6: Final answer
    x = 6,780.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.