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Finding the Third Proportional to 22,019 and 46,214

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Solution

The third proportional to 22,019 and 46,214 is: 96,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,019 : 46,214 = 46,214 : x
  2. Step 2: Convert to fraction form
    22,019/46,214 = 46,214/x
  3. Step 3: Cross multiply
    22,019x = 46,214 × 46,214
  4. Step 4: Simplify right side
    22,019x = 2,135,733,796
  5. Step 5: Solve for x
    x = 2,135,733,796/22,019
  6. Step 6: Final answer
    x = 96,995.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.