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Finding the Third Proportional to 21,811 and 48,134

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Solution

The third proportional to 21,811 and 48,134 is: 106,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811 : 48,134 = 48,134 : x
  2. Step 2: Convert to fraction form
    21,811/48,134 = 48,134/x
  3. Step 3: Cross multiply
    21,811x = 48,134 × 48,134
  4. Step 4: Simplify right side
    21,811x = 2,316,881,956
  5. Step 5: Solve for x
    x = 2,316,881,956/21,811
  6. Step 6: Final answer
    x = 106,225.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.