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Finding the Third Proportional to 36,337 and 48,832.50

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Solution

The third proportional to 36,337 and 48,832.50 is: 65,624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,337 : 48,832.50 = 48,832.50 : x
  2. Step 2: Convert to fraction form
    36,337/48,832.50 = 48,832.50/x
  3. Step 3: Cross multiply
    36,337x = 48,832.50 × 48,832.50
  4. Step 4: Simplify right side
    36,337x = 2,384,613,056.25
  5. Step 5: Solve for x
    x = 2,384,613,056.25/36,337
  6. Step 6: Final answer
    x = 65,624.93

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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.