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Finding the Third Proportional to 37,696 and 57,344

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Solution

The third proportional to 37,696 and 57,344 is: 87,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,696 : 57,344 = 57,344 : x
  2. Step 2: Convert to fraction form
    37,696/57,344 = 57,344/x
  3. Step 3: Cross multiply
    37,696x = 57,344 × 57,344
  4. Step 4: Simplify right side
    37,696x = 3,288,334,336
  5. Step 5: Solve for x
    x = 3,288,334,336/37,696
  6. Step 6: Final answer
    x = 87,232.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.