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Finding the Third Proportional to 10,134 and 21,906

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Solution

The third proportional to 10,134 and 21,906 is: 47,352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134 : 21,906 = 21,906 : x
  2. Step 2: Convert to fraction form
    10,134/21,906 = 21,906/x
  3. Step 3: Cross multiply
    10,134x = 21,906 × 21,906
  4. Step 4: Simplify right side
    10,134x = 479,872,836
  5. Step 5: Solve for x
    x = 479,872,836/10,134
  6. Step 6: Final answer
    x = 47,352.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.