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Finding the Third Proportional to 36,416 and 49,838

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Solution

The third proportional to 36,416 and 49,838 is: 68,207.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,416 : 49,838 = 49,838 : x
  2. Step 2: Convert to fraction form
    36,416/49,838 = 49,838/x
  3. Step 3: Cross multiply
    36,416x = 49,838 × 49,838
  4. Step 4: Simplify right side
    36,416x = 2,483,826,244
  5. Step 5: Solve for x
    x = 2,483,826,244/36,416
  6. Step 6: Final answer
    x = 68,207.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.