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Finding the Third Proportional to 37,296 and 57,720

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Solution

The third proportional to 37,296 and 57,720 is: 89,328.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,296 : 57,720 = 57,720 : x
  2. Step 2: Convert to fraction form
    37,296/57,720 = 57,720/x
  3. Step 3: Cross multiply
    37,296x = 57,720 × 57,720
  4. Step 4: Simplify right side
    37,296x = 3,331,598,400
  5. Step 5: Solve for x
    x = 3,331,598,400/37,296
  6. Step 6: Final answer
    x = 89,328.57

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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.