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Finding the Third Proportional to 37,268 and 57,200

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Solution

The third proportional to 37,268 and 57,200 is: 87,792.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,268 : 57,200 = 57,200 : x
  2. Step 2: Convert to fraction form
    37,268/57,200 = 57,200/x
  3. Step 3: Cross multiply
    37,268x = 57,200 × 57,200
  4. Step 4: Simplify right side
    37,268x = 3,271,840,000
  5. Step 5: Solve for x
    x = 3,271,840,000/37,268
  6. Step 6: Final answer
    x = 87,792.21

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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.