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Finding the Third Proportional to 16,368 and 21,767

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Solution

The third proportional to 16,368 and 21,767 is: 28,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,368 : 21,767 = 21,767 : x
  2. Step 2: Convert to fraction form
    16,368/21,767 = 21,767/x
  3. Step 3: Cross multiply
    16,368x = 21,767 × 21,767
  4. Step 4: Simplify right side
    16,368x = 473,802,289
  5. Step 5: Solve for x
    x = 473,802,289/16,368
  6. Step 6: Final answer
    x = 28,946.87

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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.