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Finding the Third Proportional to 22,194 and 48,627

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Solution

The third proportional to 22,194 and 48,627 is: 106,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,194 : 48,627 = 48,627 : x
  2. Step 2: Convert to fraction form
    22,194/48,627 = 48,627/x
  3. Step 3: Cross multiply
    22,194x = 48,627 × 48,627
  4. Step 4: Simplify right side
    22,194x = 2,364,585,129
  5. Step 5: Solve for x
    x = 2,364,585,129/22,194
  6. Step 6: Final answer
    x = 106,541.64

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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.