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Finding the Third Proportional to 36,248 and 51,044

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Solution

The third proportional to 36,248 and 51,044 is: 71,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,248 : 51,044 = 51,044 : x
  2. Step 2: Convert to fraction form
    36,248/51,044 = 51,044/x
  3. Step 3: Cross multiply
    36,248x = 51,044 × 51,044
  4. Step 4: Simplify right side
    36,248x = 2,605,489,936
  5. Step 5: Solve for x
    x = 2,605,489,936/36,248
  6. Step 6: Final answer
    x = 71,879.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.