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Finding the Third Proportional to 20,229 and 43,769

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Solution

The third proportional to 20,229 and 43,769 is: 94,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229 : 43,769 = 43,769 : x
  2. Step 2: Convert to fraction form
    20,229/43,769 = 43,769/x
  3. Step 3: Cross multiply
    20,229x = 43,769 × 43,769
  4. Step 4: Simplify right side
    20,229x = 1,915,725,361
  5. Step 5: Solve for x
    x = 1,915,725,361/20,229
  6. Step 6: Final answer
    x = 94,701.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.