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Finding the Third Proportional to 16,729 and 22,323

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Solution

The third proportional to 16,729 and 22,323 is: 29,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,729 : 22,323 = 22,323 : x
  2. Step 2: Convert to fraction form
    16,729/22,323 = 22,323/x
  3. Step 3: Cross multiply
    16,729x = 22,323 × 22,323
  4. Step 4: Simplify right side
    16,729x = 498,316,329
  5. Step 5: Solve for x
    x = 498,316,329/16,729
  6. Step 6: Final answer
    x = 29,787.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.