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Finding the Third Proportional to 12,411 and 21,906

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Solution

The third proportional to 12,411 and 21,906 is: 38,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411 : 21,906 = 21,906 : x
  2. Step 2: Convert to fraction form
    12,411/21,906 = 21,906/x
  3. Step 3: Cross multiply
    12,411x = 21,906 × 21,906
  4. Step 4: Simplify right side
    12,411x = 479,872,836
  5. Step 5: Solve for x
    x = 479,872,836/12,411
  6. Step 6: Final answer
    x = 38,665.12

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.