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Finding the Third Proportional to 9,922.50 and 20,634.75

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Solution

The third proportional to 9,922.50 and 20,634.75 is: 42,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.50 : 20,634.75 = 20,634.75 : x
  2. Step 2: Convert to fraction form
    9,922.50/20,634.75 = 20,634.75/x
  3. Step 3: Cross multiply
    9,922.50x = 20,634.75 × 20,634.75
  4. Step 4: Simplify right side
    9,922.50x = 425,792,907.56
  5. Step 5: Solve for x
    x = 425,792,907.56/9,922.50
  6. Step 6: Final answer
    x = 42,911.86

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1.5x scale

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.