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Finding the Third Proportional to 48,519 and 73,653.75

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Solution

The third proportional to 48,519 and 73,653.75 is: 111,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,519 : 73,653.75 = 73,653.75 : x
  2. Step 2: Convert to fraction form
    48,519/73,653.75 = 73,653.75/x
  3. Step 3: Cross multiply
    48,519x = 73,653.75 × 73,653.75
  4. Step 4: Simplify right side
    48,519x = 5,424,874,889.06
  5. Step 5: Solve for x
    x = 5,424,874,889.06/48,519
  6. Step 6: Final answer
    x = 111,809.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.