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Finding the Third Proportional to 35,037 and 52,425

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Solution

The third proportional to 35,037 and 52,425 is: 78,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,037 : 52,425 = 52,425 : x
  2. Step 2: Convert to fraction form
    35,037/52,425 = 52,425/x
  3. Step 3: Cross multiply
    35,037x = 52,425 × 52,425
  4. Step 4: Simplify right side
    35,037x = 2,748,380,625
  5. Step 5: Solve for x
    x = 2,748,380,625/35,037
  6. Step 6: Final answer
    x = 78,442.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.