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Finding the Third Proportional to 37,517 and 57,228

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Solution

The third proportional to 37,517 and 57,228 is: 87,294.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,517 : 57,228 = 57,228 : x
  2. Step 2: Convert to fraction form
    37,517/57,228 = 57,228/x
  3. Step 3: Cross multiply
    37,517x = 57,228 × 57,228
  4. Step 4: Simplify right side
    37,517x = 3,275,043,984
  5. Step 5: Solve for x
    x = 3,275,043,984/37,517
  6. Step 6: Final answer
    x = 87,294.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.