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Finding the Third Proportional to 37,928 and 57,416

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Solution

The third proportional to 37,928 and 57,416 is: 86,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,928 : 57,416 = 57,416 : x
  2. Step 2: Convert to fraction form
    37,928/57,416 = 57,416/x
  3. Step 3: Cross multiply
    37,928x = 57,416 × 57,416
  4. Step 4: Simplify right side
    37,928x = 3,296,597,056
  5. Step 5: Solve for x
    x = 3,296,597,056/37,928
  6. Step 6: Final answer
    x = 86,917.24

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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.