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Finding the Third Proportional to 37,951 and 58,913

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Solution

The third proportional to 37,951 and 58,913 is: 91,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,951 : 58,913 = 58,913 : x
  2. Step 2: Convert to fraction form
    37,951/58,913 = 58,913/x
  3. Step 3: Cross multiply
    37,951x = 58,913 × 58,913
  4. Step 4: Simplify right side
    37,951x = 3,470,741,569
  5. Step 5: Solve for x
    x = 3,470,741,569/37,951
  6. Step 6: Final answer
    x = 91,453.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.