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Finding the Third Proportional to 37,025 and 79,972

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Solution

The third proportional to 37,025 and 79,972 is: 172,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,025 : 79,972 = 79,972 : x
  2. Step 2: Convert to fraction form
    37,025/79,972 = 79,972/x
  3. Step 3: Cross multiply
    37,025x = 79,972 × 79,972
  4. Step 4: Simplify right side
    37,025x = 6,395,520,784
  5. Step 5: Solve for x
    x = 6,395,520,784/37,025
  6. Step 6: Final answer
    x = 172,735.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.