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Finding the Third Proportional to 9,774.75 and 20,218.88

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Solution

The third proportional to 9,774.75 and 20,218.88 is: 41,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.75 : 20,218.88 = 20,218.88 : x
  2. Step 2: Convert to fraction form
    9,774.75/20,218.88 = 20,218.88/x
  3. Step 3: Cross multiply
    9,774.75x = 20,218.88 × 20,218.88
  4. Step 4: Simplify right side
    9,774.75x = 408,802,906.27
  5. Step 5: Solve for x
    x = 408,802,906.27/9,774.75
  6. Step 6: Final answer
    x = 41,822.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.