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Finding the Third Proportional to 16,048 and 21,300

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Solution

The third proportional to 16,048 and 21,300 is: 28,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048 : 21,300 = 21,300 : x
  2. Step 2: Convert to fraction form
    16,048/21,300 = 21,300/x
  3. Step 3: Cross multiply
    16,048x = 21,300 × 21,300
  4. Step 4: Simplify right side
    16,048x = 453,690,000
  5. Step 5: Solve for x
    x = 453,690,000/16,048
  6. Step 6: Final answer
    x = 28,270.81

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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.