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Finding the Third Proportional to 49,533.75 and 86,451.75

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Solution

The third proportional to 49,533.75 and 86,451.75 is: 150,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,533.75 : 86,451.75 = 86,451.75 : x
  2. Step 2: Convert to fraction form
    49,533.75/86,451.75 = 86,451.75/x
  3. Step 3: Cross multiply
    49,533.75x = 86,451.75 × 86,451.75
  4. Step 4: Simplify right side
    49,533.75x = 7,473,905,078.06
  5. Step 5: Solve for x
    x = 7,473,905,078.06/49,533.75
  6. Step 6: Final answer
    x = 150,885.11

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.