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Finding the Third Proportional to 47,295 and 73,230.75

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Solution

The third proportional to 47,295 and 73,230.75 is: 113,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,295 : 73,230.75 = 73,230.75 : x
  2. Step 2: Convert to fraction form
    47,295/73,230.75 = 73,230.75/x
  3. Step 3: Cross multiply
    47,295x = 73,230.75 × 73,230.75
  4. Step 4: Simplify right side
    47,295x = 5,362,742,745.56
  5. Step 5: Solve for x
    x = 5,362,742,745.56/47,295
  6. Step 6: Final answer
    x = 113,389.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.