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Finding the Third Proportional to 36,624 and 49,209.75

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Solution

The third proportional to 36,624 and 49,209.75 is: 66,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,624 : 49,209.75 = 49,209.75 : x
  2. Step 2: Convert to fraction form
    36,624/49,209.75 = 49,209.75/x
  3. Step 3: Cross multiply
    36,624x = 49,209.75 × 49,209.75
  4. Step 4: Simplify right side
    36,624x = 2,421,599,495.06
  5. Step 5: Solve for x
    x = 2,421,599,495.06/36,624
  6. Step 6: Final answer
    x = 66,120.56

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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.