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Finding the Third Proportional to 20,764 and 43,552

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Solution

The third proportional to 20,764 and 43,552 is: 91,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,764 : 43,552 = 43,552 : x
  2. Step 2: Convert to fraction form
    20,764/43,552 = 43,552/x
  3. Step 3: Cross multiply
    20,764x = 43,552 × 43,552
  4. Step 4: Simplify right side
    20,764x = 1,896,776,704
  5. Step 5: Solve for x
    x = 1,896,776,704/20,764
  6. Step 6: Final answer
    x = 91,349.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.