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Finding the Third Proportional to 36,230 and 48,750

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Solution

The third proportional to 36,230 and 48,750 is: 65,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,230 : 48,750 = 48,750 : x
  2. Step 2: Convert to fraction form
    36,230/48,750 = 48,750/x
  3. Step 3: Cross multiply
    36,230x = 48,750 × 48,750
  4. Step 4: Simplify right side
    36,230x = 2,376,562,500
  5. Step 5: Solve for x
    x = 2,376,562,500/36,230
  6. Step 6: Final answer
    x = 65,596.54

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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.