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Finding the Third Proportional to 37,168 and 54,508

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Solution

The third proportional to 37,168 and 54,508 is: 79,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,168 : 54,508 = 54,508 : x
  2. Step 2: Convert to fraction form
    37,168/54,508 = 54,508/x
  3. Step 3: Cross multiply
    37,168x = 54,508 × 54,508
  4. Step 4: Simplify right side
    37,168x = 2,971,122,064
  5. Step 5: Solve for x
    x = 2,971,122,064/37,168
  6. Step 6: Final answer
    x = 79,937.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.