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Finding the Third Proportional to 9,936 and 22,230

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Solution

The third proportional to 9,936 and 22,230 is: 49,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936 : 22,230 = 22,230 : x
  2. Step 2: Convert to fraction form
    9,936/22,230 = 22,230/x
  3. Step 3: Cross multiply
    9,936x = 22,230 × 22,230
  4. Step 4: Simplify right side
    9,936x = 494,172,900
  5. Step 5: Solve for x
    x = 494,172,900/9,936
  6. Step 6: Final answer
    x = 49,735.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.