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Finding the Third Proportional to 13,830 and 21,001

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Solution

The third proportional to 13,830 and 21,001 is: 31,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830 : 21,001 = 21,001 : x
  2. Step 2: Convert to fraction form
    13,830/21,001 = 21,001/x
  3. Step 3: Cross multiply
    13,830x = 21,001 × 21,001
  4. Step 4: Simplify right side
    13,830x = 441,042,001
  5. Step 5: Solve for x
    x = 441,042,001/13,830
  6. Step 6: Final answer
    x = 31,890.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.