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Finding the Third Proportional to 20,011 and 28,983.25

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Solution

The third proportional to 20,011 and 28,983.25 is: 41,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,011 : 28,983.25 = 28,983.25 : x
  2. Step 2: Convert to fraction form
    20,011/28,983.25 = 28,983.25/x
  3. Step 3: Cross multiply
    20,011x = 28,983.25 × 28,983.25
  4. Step 4: Simplify right side
    20,011x = 840,028,780.56
  5. Step 5: Solve for x
    x = 840,028,780.56/20,011
  6. Step 6: Final answer
    x = 41,978.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.