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Finding the Third Proportional to 20,288 and 43,816

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Solution

The third proportional to 20,288 and 43,816 is: 94,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,288 : 43,816 = 43,816 : x
  2. Step 2: Convert to fraction form
    20,288/43,816 = 43,816/x
  3. Step 3: Cross multiply
    20,288x = 43,816 × 43,816
  4. Step 4: Simplify right side
    20,288x = 1,919,841,856
  5. Step 5: Solve for x
    x = 1,919,841,856/20,288
  6. Step 6: Final answer
    x = 94,629.43

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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.