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Finding the Third Proportional to 37,000 and 57,980

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Solution

The third proportional to 37,000 and 57,980 is: 90,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,000 : 57,980 = 57,980 : x
  2. Step 2: Convert to fraction form
    37,000/57,980 = 57,980/x
  3. Step 3: Cross multiply
    37,000x = 57,980 × 57,980
  4. Step 4: Simplify right side
    37,000x = 3,361,680,400
  5. Step 5: Solve for x
    x = 3,361,680,400/37,000
  6. Step 6: Final answer
    x = 90,856.23

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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.