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Finding the Third Proportional to 51,924.25 and 74,252.75

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Solution

The third proportional to 51,924.25 and 74,252.75 is: 106,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,924.25 : 74,252.75 = 74,252.75 : x
  2. Step 2: Convert to fraction form
    51,924.25/74,252.75 = 74,252.75/x
  3. Step 3: Cross multiply
    51,924.25x = 74,252.75 × 74,252.75
  4. Step 4: Simplify right side
    51,924.25x = 5,513,470,882.56
  5. Step 5: Solve for x
    x = 5,513,470,882.56/51,924.25
  6. Step 6: Final answer
    x = 106,182.97

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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.