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Finding the Third Proportional to 37,336 and 55,914

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Solution

The third proportional to 37,336 and 55,914 is: 83,736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,336 : 55,914 = 55,914 : x
  2. Step 2: Convert to fraction form
    37,336/55,914 = 55,914/x
  3. Step 3: Cross multiply
    37,336x = 55,914 × 55,914
  4. Step 4: Simplify right side
    37,336x = 3,126,375,396
  5. Step 5: Solve for x
    x = 3,126,375,396/37,336
  6. Step 6: Final answer
    x = 83,736.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.