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Finding the Third Proportional to 36,810 and 49,043

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Solution

The third proportional to 36,810 and 49,043 is: 65,341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,810 : 49,043 = 49,043 : x
  2. Step 2: Convert to fraction form
    36,810/49,043 = 49,043/x
  3. Step 3: Cross multiply
    36,810x = 49,043 × 49,043
  4. Step 4: Simplify right side
    36,810x = 2,405,215,849
  5. Step 5: Solve for x
    x = 2,405,215,849/36,810
  6. Step 6: Final answer
    x = 65,341.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.