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Finding the Third Proportional to 35,086 and 52,477

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Solution

The third proportional to 35,086 and 52,477 is: 78,488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,086 : 52,477 = 52,477 : x
  2. Step 2: Convert to fraction form
    35,086/52,477 = 52,477/x
  3. Step 3: Cross multiply
    35,086x = 52,477 × 52,477
  4. Step 4: Simplify right side
    35,086x = 2,753,835,529
  5. Step 5: Solve for x
    x = 2,753,835,529/35,086
  6. Step 6: Final answer
    x = 78,488.16

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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.