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Finding the Third Proportional to 36,968 and 79,472

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Solution

The third proportional to 36,968 and 79,472 is: 170,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,968 : 79,472 = 79,472 : x
  2. Step 2: Convert to fraction form
    36,968/79,472 = 79,472/x
  3. Step 3: Cross multiply
    36,968x = 79,472 × 79,472
  4. Step 4: Simplify right side
    36,968x = 6,315,798,784
  5. Step 5: Solve for x
    x = 6,315,798,784/36,968
  6. Step 6: Final answer
    x = 170,845.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.