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Finding the Third Proportional to 37,064 and 57,400

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Solution

The third proportional to 37,064 and 57,400 is: 88,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,064 : 57,400 = 57,400 : x
  2. Step 2: Convert to fraction form
    37,064/57,400 = 57,400/x
  3. Step 3: Cross multiply
    37,064x = 57,400 × 57,400
  4. Step 4: Simplify right side
    37,064x = 3,294,760,000
  5. Step 5: Solve for x
    x = 3,294,760,000/37,064
  6. Step 6: Final answer
    x = 88,893.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.