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Finding the Third Proportional to 20,682 and 44,863

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Solution

The third proportional to 20,682 and 44,863 is: 97,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682 : 44,863 = 44,863 : x
  2. Step 2: Convert to fraction form
    20,682/44,863 = 44,863/x
  3. Step 3: Cross multiply
    20,682x = 44,863 × 44,863
  4. Step 4: Simplify right side
    20,682x = 2,012,688,769
  5. Step 5: Solve for x
    x = 2,012,688,769/20,682
  6. Step 6: Final answer
    x = 97,315.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.