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Finding the Third Proportional to 31,812.75 and 49,529.25

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Solution

The third proportional to 31,812.75 and 49,529.25 is: 77,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812.75 : 49,529.25 = 49,529.25 : x
  2. Step 2: Convert to fraction form
    31,812.75/49,529.25 = 49,529.25/x
  3. Step 3: Cross multiply
    31,812.75x = 49,529.25 × 49,529.25
  4. Step 4: Simplify right side
    31,812.75x = 2,453,146,605.56
  5. Step 5: Solve for x
    x = 2,453,146,605.56/31,812.75
  6. Step 6: Final answer
    x = 77,112.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.