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Finding the Third Proportional to 5,322 and 6,442

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Solution

The third proportional to 5,322 and 6,442 is: 7,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322 : 6,442 = 6,442 : x
  2. Step 2: Convert to fraction form
    5,322/6,442 = 6,442/x
  3. Step 3: Cross multiply
    5,322x = 6,442 × 6,442
  4. Step 4: Simplify right side
    5,322x = 41,499,364
  5. Step 5: Solve for x
    x = 41,499,364/5,322
  6. Step 6: Final answer
    x = 7,797.70

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.