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Finding the Third Proportional to 33,732 and 74,025

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Solution

The third proportional to 33,732 and 74,025 is: 162,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,732 : 74,025 = 74,025 : x
  2. Step 2: Convert to fraction form
    33,732/74,025 = 74,025/x
  3. Step 3: Cross multiply
    33,732x = 74,025 × 74,025
  4. Step 4: Simplify right side
    33,732x = 5,479,700,625
  5. Step 5: Solve for x
    x = 5,479,700,625/33,732
  6. Step 6: Final answer
    x = 162,448.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.