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Finding the Third Proportional to 10,084 and 22,107

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Solution

The third proportional to 10,084 and 22,107 is: 48,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084 : 22,107 = 22,107 : x
  2. Step 2: Convert to fraction form
    10,084/22,107 = 22,107/x
  3. Step 3: Cross multiply
    10,084x = 22,107 × 22,107
  4. Step 4: Simplify right side
    10,084x = 488,719,449
  5. Step 5: Solve for x
    x = 488,719,449/10,084
  6. Step 6: Final answer
    x = 48,464.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.