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Finding the Third Proportional to 22,128 and 48,147

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Solution

The third proportional to 22,128 and 48,147 is: 104,760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,128 : 48,147 = 48,147 : x
  2. Step 2: Convert to fraction form
    22,128/48,147 = 48,147/x
  3. Step 3: Cross multiply
    22,128x = 48,147 × 48,147
  4. Step 4: Simplify right side
    22,128x = 2,318,133,609
  5. Step 5: Solve for x
    x = 2,318,133,609/22,128
  6. Step 6: Final answer
    x = 104,760.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.