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Finding the Third Proportional to 36,391 and 48,901

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Solution

The third proportional to 36,391 and 48,901 is: 65,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,391 : 48,901 = 48,901 : x
  2. Step 2: Convert to fraction form
    36,391/48,901 = 48,901/x
  3. Step 3: Cross multiply
    36,391x = 48,901 × 48,901
  4. Step 4: Simplify right side
    36,391x = 2,391,307,801
  5. Step 5: Solve for x
    x = 2,391,307,801/36,391
  6. Step 6: Final answer
    x = 65,711.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.