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Finding the Third Proportional to 8,965 and 20,833

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Solution

The third proportional to 8,965 and 20,833 is: 48,412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965 : 20,833 = 20,833 : x
  2. Step 2: Convert to fraction form
    8,965/20,833 = 20,833/x
  3. Step 3: Cross multiply
    8,965x = 20,833 × 20,833
  4. Step 4: Simplify right side
    8,965x = 434,013,889
  5. Step 5: Solve for x
    x = 434,013,889/8,965
  6. Step 6: Final answer
    x = 48,412.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.