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Finding the Third Proportional to 37,240 and 52,094

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Solution

The third proportional to 37,240 and 52,094 is: 72,872.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,240 : 52,094 = 52,094 : x
  2. Step 2: Convert to fraction form
    37,240/52,094 = 52,094/x
  3. Step 3: Cross multiply
    37,240x = 52,094 × 52,094
  4. Step 4: Simplify right side
    37,240x = 2,713,784,836
  5. Step 5: Solve for x
    x = 2,713,784,836/37,240
  6. Step 6: Final answer
    x = 72,872.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.