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Finding the Third Proportional to 22,122 and 48,388

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Solution

The third proportional to 22,122 and 48,388 is: 105,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,122 : 48,388 = 48,388 : x
  2. Step 2: Convert to fraction form
    22,122/48,388 = 48,388/x
  3. Step 3: Cross multiply
    22,122x = 48,388 × 48,388
  4. Step 4: Simplify right side
    22,122x = 2,341,398,544
  5. Step 5: Solve for x
    x = 2,341,398,544/22,122
  6. Step 6: Final answer
    x = 105,840.27

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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.