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Finding the Third Proportional to 37,890 and 59,307

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Solution

The third proportional to 37,890 and 59,307 is: 92,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,890 : 59,307 = 59,307 : x
  2. Step 2: Convert to fraction form
    37,890/59,307 = 59,307/x
  3. Step 3: Cross multiply
    37,890x = 59,307 × 59,307
  4. Step 4: Simplify right side
    37,890x = 3,517,320,249
  5. Step 5: Solve for x
    x = 3,517,320,249/37,890
  6. Step 6: Final answer
    x = 92,829.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.