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Finding the Third Proportional to 36,384 and 49,384

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Solution

The third proportional to 36,384 and 49,384 is: 67,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,384 : 49,384 = 49,384 : x
  2. Step 2: Convert to fraction form
    36,384/49,384 = 49,384/x
  3. Step 3: Cross multiply
    36,384x = 49,384 × 49,384
  4. Step 4: Simplify right side
    36,384x = 2,438,779,456
  5. Step 5: Solve for x
    x = 2,438,779,456/36,384
  6. Step 6: Final answer
    x = 67,028.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.