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Finding the Third Proportional to 37,648 and 79,472

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Solution

The third proportional to 37,648 and 79,472 is: 167,759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648 : 79,472 = 79,472 : x
  2. Step 2: Convert to fraction form
    37,648/79,472 = 79,472/x
  3. Step 3: Cross multiply
    37,648x = 79,472 × 79,472
  4. Step 4: Simplify right side
    37,648x = 6,315,798,784
  5. Step 5: Solve for x
    x = 6,315,798,784/37,648
  6. Step 6: Final answer
    x = 167,759.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.