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Finding the Third Proportional to 20,069 and 28,524

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Solution

The third proportional to 20,069 and 28,524 is: 40,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,069 : 28,524 = 28,524 : x
  2. Step 2: Convert to fraction form
    20,069/28,524 = 28,524/x
  3. Step 3: Cross multiply
    20,069x = 28,524 × 28,524
  4. Step 4: Simplify right side
    20,069x = 813,618,576
  5. Step 5: Solve for x
    x = 813,618,576/20,069
  6. Step 6: Final answer
    x = 40,541.06

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.