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Finding the Third Proportional to 8,499 and 18,679

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Solution

The third proportional to 8,499 and 18,679 is: 41,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499 : 18,679 = 18,679 : x
  2. Step 2: Convert to fraction form
    8,499/18,679 = 18,679/x
  3. Step 3: Cross multiply
    8,499x = 18,679 × 18,679
  4. Step 4: Simplify right side
    8,499x = 348,905,041
  5. Step 5: Solve for x
    x = 348,905,041/8,499
  6. Step 6: Final answer
    x = 41,052.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.