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Finding the Third Proportional to 36,254 and 48,795

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Solution

The third proportional to 36,254 and 48,795 is: 65,674.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,254 : 48,795 = 48,795 : x
  2. Step 2: Convert to fraction form
    36,254/48,795 = 48,795/x
  3. Step 3: Cross multiply
    36,254x = 48,795 × 48,795
  4. Step 4: Simplify right side
    36,254x = 2,380,952,025
  5. Step 5: Solve for x
    x = 2,380,952,025/36,254
  6. Step 6: Final answer
    x = 65,674.19

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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.