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Finding the Third Proportional to 37,732 and 79,135

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Solution

The third proportional to 37,732 and 79,135 is: 165,969.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,732 : 79,135 = 79,135 : x
  2. Step 2: Convert to fraction form
    37,732/79,135 = 79,135/x
  3. Step 3: Cross multiply
    37,732x = 79,135 × 79,135
  4. Step 4: Simplify right side
    37,732x = 6,262,348,225
  5. Step 5: Solve for x
    x = 6,262,348,225/37,732
  6. Step 6: Final answer
    x = 165,969.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.