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Finding the Third Proportional to 31,765.50 and 73,863

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Solution

The third proportional to 31,765.50 and 73,863 is: 171,750.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,765.50 : 73,863 = 73,863 : x
  2. Step 2: Convert to fraction form
    31,765.50/73,863 = 73,863/x
  3. Step 3: Cross multiply
    31,765.50x = 73,863 × 73,863
  4. Step 4: Simplify right side
    31,765.50x = 5,455,742,769
  5. Step 5: Solve for x
    x = 5,455,742,769/31,765.50
  6. Step 6: Final answer
    x = 171,750.57

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.