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Finding the Third Proportional to 51,996.25 and 74,357.38

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Solution

The third proportional to 51,996.25 and 74,357.38 is: 106,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,996.25 : 74,357.38 = 74,357.38 : x
  2. Step 2: Convert to fraction form
    51,996.25/74,357.38 = 74,357.38/x
  3. Step 3: Cross multiply
    51,996.25x = 74,357.38 × 74,357.38
  4. Step 4: Simplify right side
    51,996.25x = 5,529,019,216.89
  5. Step 5: Solve for x
    x = 5,529,019,216.89/51,996.25
  6. Step 6: Final answer
    x = 106,334.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.