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Finding the Third Proportional to 37,334.25 and 54,900

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Solution

The third proportional to 37,334.25 and 54,900 is: 80,730.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,334.25 : 54,900 = 54,900 : x
  2. Step 2: Convert to fraction form
    37,334.25/54,900 = 54,900/x
  3. Step 3: Cross multiply
    37,334.25x = 54,900 × 54,900
  4. Step 4: Simplify right side
    37,334.25x = 3,014,010,000
  5. Step 5: Solve for x
    x = 3,014,010,000/37,334.25
  6. Step 6: Final answer
    x = 80,730.43

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Why These Related Problems?

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