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Finding the Third Proportional to 19,549 and 31,477

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Solution

The third proportional to 19,549 and 31,477 is: 50,682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549 : 31,477 = 31,477 : x
  2. Step 2: Convert to fraction form
    19,549/31,477 = 31,477/x
  3. Step 3: Cross multiply
    19,549x = 31,477 × 31,477
  4. Step 4: Simplify right side
    19,549x = 990,801,529
  5. Step 5: Solve for x
    x = 990,801,529/19,549
  6. Step 6: Final answer
    x = 50,682.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.