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Finding the Third Proportional to 10,863 and 22,029.75

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Solution

The third proportional to 10,863 and 22,029.75 is: 44,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863 : 22,029.75 = 22,029.75 : x
  2. Step 2: Convert to fraction form
    10,863/22,029.75 = 22,029.75/x
  3. Step 3: Cross multiply
    10,863x = 22,029.75 × 22,029.75
  4. Step 4: Simplify right side
    10,863x = 485,309,885.06
  5. Step 5: Solve for x
    x = 485,309,885.06/10,863
  6. Step 6: Final answer
    x = 44,675.49

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.