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Finding the Third Proportional to 20,001 and 22,485

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Solution

The third proportional to 20,001 and 22,485 is: 25,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,001 : 22,485 = 22,485 : x
  2. Step 2: Convert to fraction form
    20,001/22,485 = 22,485/x
  3. Step 3: Cross multiply
    20,001x = 22,485 × 22,485
  4. Step 4: Simplify right side
    20,001x = 505,575,225
  5. Step 5: Solve for x
    x = 505,575,225/20,001
  6. Step 6: Final answer
    x = 25,277.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.