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Finding the Third Proportional to 18,869 and 29,971

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Solution

The third proportional to 18,869 and 29,971 is: 47,605.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,869 : 29,971 = 29,971 : x
  2. Step 2: Convert to fraction form
    18,869/29,971 = 29,971/x
  3. Step 3: Cross multiply
    18,869x = 29,971 × 29,971
  4. Step 4: Simplify right side
    18,869x = 898,260,841
  5. Step 5: Solve for x
    x = 898,260,841/18,869
  6. Step 6: Final answer
    x = 47,605.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.