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Finding the Third Proportional to 20,924 and 43,576

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Solution

The third proportional to 20,924 and 43,576 is: 90,750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,924 : 43,576 = 43,576 : x
  2. Step 2: Convert to fraction form
    20,924/43,576 = 43,576/x
  3. Step 3: Cross multiply
    20,924x = 43,576 × 43,576
  4. Step 4: Simplify right side
    20,924x = 1,898,867,776
  5. Step 5: Solve for x
    x = 1,898,867,776/20,924
  6. Step 6: Final answer
    x = 90,750.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.