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Finding the Third Proportional to 37,218 and 50,540

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Solution

The third proportional to 37,218 and 50,540 is: 68,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,218 : 50,540 = 50,540 : x
  2. Step 2: Convert to fraction form
    37,218/50,540 = 50,540/x
  3. Step 3: Cross multiply
    37,218x = 50,540 × 50,540
  4. Step 4: Simplify right side
    37,218x = 2,554,291,600
  5. Step 5: Solve for x
    x = 2,554,291,600/37,218
  6. Step 6: Final answer
    x = 68,630.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.