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Finding the Third Proportional to 37,473 and 81,891

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Solution

The third proportional to 37,473 and 81,891 is: 178,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,473 : 81,891 = 81,891 : x
  2. Step 2: Convert to fraction form
    37,473/81,891 = 81,891/x
  3. Step 3: Cross multiply
    37,473x = 81,891 × 81,891
  4. Step 4: Simplify right side
    37,473x = 6,706,135,881
  5. Step 5: Solve for x
    x = 6,706,135,881/37,473
  6. Step 6: Final answer
    x = 178,959.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.