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Finding the Third Proportional to 30,126 and 46,857

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Solution

The third proportional to 30,126 and 46,857 is: 72,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,126 : 46,857 = 46,857 : x
  2. Step 2: Convert to fraction form
    30,126/46,857 = 46,857/x
  3. Step 3: Cross multiply
    30,126x = 46,857 × 46,857
  4. Step 4: Simplify right side
    30,126x = 2,195,578,449
  5. Step 5: Solve for x
    x = 2,195,578,449/30,126
  6. Step 6: Final answer
    x = 72,879.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.