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Finding the Third Proportional to 37,122 and 53,635

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Solution

The third proportional to 37,122 and 53,635 is: 77,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,122 : 53,635 = 53,635 : x
  2. Step 2: Convert to fraction form
    37,122/53,635 = 53,635/x
  3. Step 3: Cross multiply
    37,122x = 53,635 × 53,635
  4. Step 4: Simplify right side
    37,122x = 2,876,713,225
  5. Step 5: Solve for x
    x = 2,876,713,225/37,122
  6. Step 6: Final answer
    x = 77,493.49

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.