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Finding the Third Proportional to 36,572.50 and 49,026.75

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Solution

The third proportional to 36,572.50 and 49,026.75 is: 65,722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,572.50 : 49,026.75 = 49,026.75 : x
  2. Step 2: Convert to fraction form
    36,572.50/49,026.75 = 49,026.75/x
  3. Step 3: Cross multiply
    36,572.50x = 49,026.75 × 49,026.75
  4. Step 4: Simplify right side
    36,572.50x = 2,403,622,215.56
  5. Step 5: Solve for x
    x = 2,403,622,215.56/36,572.50
  6. Step 6: Final answer
    x = 65,722.12

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.