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Finding the Third Proportional to 13,224 and 19,971

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Solution

The third proportional to 13,224 and 19,971 is: 30,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224 : 19,971 = 19,971 : x
  2. Step 2: Convert to fraction form
    13,224/19,971 = 19,971/x
  3. Step 3: Cross multiply
    13,224x = 19,971 × 19,971
  4. Step 4: Simplify right side
    13,224x = 398,840,841
  5. Step 5: Solve for x
    x = 398,840,841/13,224
  6. Step 6: Final answer
    x = 30,160.38

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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.