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Finding the Third Proportional to 14,001 and 21,411

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Solution

The third proportional to 14,001 and 21,411 is: 32,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,001 : 21,411 = 21,411 : x
  2. Step 2: Convert to fraction form
    14,001/21,411 = 21,411/x
  3. Step 3: Cross multiply
    14,001x = 21,411 × 21,411
  4. Step 4: Simplify right side
    14,001x = 458,430,921
  5. Step 5: Solve for x
    x = 458,430,921/14,001
  6. Step 6: Final answer
    x = 32,742.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.