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Finding the Third Proportional to 19,640 and 30,050

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Solution

The third proportional to 19,640 and 30,050 is: 45,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640 : 30,050 = 30,050 : x
  2. Step 2: Convert to fraction form
    19,640/30,050 = 30,050/x
  3. Step 3: Cross multiply
    19,640x = 30,050 × 30,050
  4. Step 4: Simplify right side
    19,640x = 903,002,500
  5. Step 5: Solve for x
    x = 903,002,500/19,640
  6. Step 6: Final answer
    x = 45,977.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.