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Finding the Third Proportional to 48,807.56 and 73,825.59

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Solution

The third proportional to 48,807.56 and 73,825.59 is: 111,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,807.56 : 73,825.59 = 73,825.59 : x
  2. Step 2: Convert to fraction form
    48,807.56/73,825.59 = 73,825.59/x
  3. Step 3: Cross multiply
    48,807.56x = 73,825.59 × 73,825.59
  4. Step 4: Simplify right side
    48,807.56x = 5,450,218,292.54
  5. Step 5: Solve for x
    x = 5,450,218,292.54/48,807.56
  6. Step 6: Final answer
    x = 111,667.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.