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Finding the Third Proportional to 4,194 and 6,323

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Solution

The third proportional to 4,194 and 6,323 is: 9,532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194 : 6,323 = 6,323 : x
  2. Step 2: Convert to fraction form
    4,194/6,323 = 6,323/x
  3. Step 3: Cross multiply
    4,194x = 6,323 × 6,323
  4. Step 4: Simplify right side
    4,194x = 39,980,329
  5. Step 5: Solve for x
    x = 39,980,329/4,194
  6. Step 6: Final answer
    x = 9,532.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.