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Finding the Third Proportional to 16,000 and 22,517

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Solution

The third proportional to 16,000 and 22,517 is: 31,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000 : 22,517 = 22,517 : x
  2. Step 2: Convert to fraction form
    16,000/22,517 = 22,517/x
  3. Step 3: Cross multiply
    16,000x = 22,517 × 22,517
  4. Step 4: Simplify right side
    16,000x = 507,015,289
  5. Step 5: Solve for x
    x = 507,015,289/16,000
  6. Step 6: Final answer
    x = 31,688.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.