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Finding the Third Proportional to 37,257 and 56,367

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Solution

The third proportional to 37,257 and 56,367 is: 85,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,257 : 56,367 = 56,367 : x
  2. Step 2: Convert to fraction form
    37,257/56,367 = 56,367/x
  3. Step 3: Cross multiply
    37,257x = 56,367 × 56,367
  4. Step 4: Simplify right side
    37,257x = 3,177,238,689
  5. Step 5: Solve for x
    x = 3,177,238,689/37,257
  6. Step 6: Final answer
    x = 85,278.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.