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Finding the Third Proportional to 29,549 and 43,891

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Solution

The third proportional to 29,549 and 43,891 is: 65,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,549 : 43,891 = 43,891 : x
  2. Step 2: Convert to fraction form
    29,549/43,891 = 43,891/x
  3. Step 3: Cross multiply
    29,549x = 43,891 × 43,891
  4. Step 4: Simplify right side
    29,549x = 1,926,419,881
  5. Step 5: Solve for x
    x = 1,926,419,881/29,549
  6. Step 6: Final answer
    x = 65,194.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.