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Finding the Third Proportional to 37,890 and 57,361

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Solution

The third proportional to 37,890 and 57,361 is: 86,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,890 : 57,361 = 57,361 : x
  2. Step 2: Convert to fraction form
    37,890/57,361 = 57,361/x
  3. Step 3: Cross multiply
    37,890x = 57,361 × 57,361
  4. Step 4: Simplify right side
    37,890x = 3,290,284,321
  5. Step 5: Solve for x
    x = 3,290,284,321/37,890
  6. Step 6: Final answer
    x = 86,837.80

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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.