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Finding the Third Proportional to 10,006 and 14,411

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Solution

The third proportional to 10,006 and 14,411 is: 20,755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006 : 14,411 = 14,411 : x
  2. Step 2: Convert to fraction form
    10,006/14,411 = 14,411/x
  3. Step 3: Cross multiply
    10,006x = 14,411 × 14,411
  4. Step 4: Simplify right side
    10,006x = 207,676,921
  5. Step 5: Solve for x
    x = 207,676,921/10,006
  6. Step 6: Final answer
    x = 20,755.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.