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Finding the Third Proportional to 36,968 and 52,068

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Solution

The third proportional to 36,968 and 52,068 is: 73,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968 : 52,068 = 52,068 : x
  2. Step 2: Convert to fraction form
    36,968/52,068 = 52,068/x
  3. Step 3: Cross multiply
    36,968x = 52,068 × 52,068
  4. Step 4: Simplify right side
    36,968x = 2,711,076,624
  5. Step 5: Solve for x
    x = 2,711,076,624/36,968
  6. Step 6: Final answer
    x = 73,335.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.