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Finding the Third Proportional to 16,947 and 21,865.50

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Solution

The third proportional to 16,947 and 21,865.50 is: 28,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,947 : 21,865.50 = 21,865.50 : x
  2. Step 2: Convert to fraction form
    16,947/21,865.50 = 21,865.50/x
  3. Step 3: Cross multiply
    16,947x = 21,865.50 × 21,865.50
  4. Step 4: Simplify right side
    16,947x = 478,100,090.25
  5. Step 5: Solve for x
    x = 478,100,090.25/16,947
  6. Step 6: Final answer
    x = 28,211.49

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.