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Finding the Third Proportional to 44,375 and 67,025

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Solution

The third proportional to 44,375 and 67,025 is: 101,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,375 : 67,025 = 67,025 : x
  2. Step 2: Convert to fraction form
    44,375/67,025 = 67,025/x
  3. Step 3: Cross multiply
    44,375x = 67,025 × 67,025
  4. Step 4: Simplify right side
    44,375x = 4,492,350,625
  5. Step 5: Solve for x
    x = 4,492,350,625/44,375
  6. Step 6: Final answer
    x = 101,236.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.