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Finding the Third Proportional to 8,722 and 18,673

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Solution

The third proportional to 8,722 and 18,673 is: 39,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722 : 18,673 = 18,673 : x
  2. Step 2: Convert to fraction form
    8,722/18,673 = 18,673/x
  3. Step 3: Cross multiply
    8,722x = 18,673 × 18,673
  4. Step 4: Simplify right side
    8,722x = 348,680,929
  5. Step 5: Solve for x
    x = 348,680,929/8,722
  6. Step 6: Final answer
    x = 39,977.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.