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Finding the Third Proportional to 36,370 and 49,126

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Solution

The third proportional to 36,370 and 49,126 is: 66,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,370 : 49,126 = 49,126 : x
  2. Step 2: Convert to fraction form
    36,370/49,126 = 49,126/x
  3. Step 3: Cross multiply
    36,370x = 49,126 × 49,126
  4. Step 4: Simplify right side
    36,370x = 2,413,363,876
  5. Step 5: Solve for x
    x = 2,413,363,876/36,370
  6. Step 6: Final answer
    x = 66,355.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.