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Finding the Third Proportional to 37,548 and 50,246

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Solution

The third proportional to 37,548 and 50,246 is: 67,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,548 : 50,246 = 50,246 : x
  2. Step 2: Convert to fraction form
    37,548/50,246 = 50,246/x
  3. Step 3: Cross multiply
    37,548x = 50,246 × 50,246
  4. Step 4: Simplify right side
    37,548x = 2,524,660,516
  5. Step 5: Solve for x
    x = 2,524,660,516/37,548
  6. Step 6: Final answer
    x = 67,238.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.