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Finding the Third Proportional to 16,872 and 22,308

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Solution

The third proportional to 16,872 and 22,308 is: 29,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872 : 22,308 = 22,308 : x
  2. Step 2: Convert to fraction form
    16,872/22,308 = 22,308/x
  3. Step 3: Cross multiply
    16,872x = 22,308 × 22,308
  4. Step 4: Simplify right side
    16,872x = 497,646,864
  5. Step 5: Solve for x
    x = 497,646,864/16,872
  6. Step 6: Final answer
    x = 29,495.43

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.