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Finding the Third Proportional to 13,920 and 21,006

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Solution

The third proportional to 13,920 and 21,006 is: 31,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920 : 21,006 = 21,006 : x
  2. Step 2: Convert to fraction form
    13,920/21,006 = 21,006/x
  3. Step 3: Cross multiply
    13,920x = 21,006 × 21,006
  4. Step 4: Simplify right side
    13,920x = 441,252,036
  5. Step 5: Solve for x
    x = 441,252,036/13,920
  6. Step 6: Final answer
    x = 31,699.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.