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Finding the Third Proportional to 31,932 and 64,774.50

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Solution

The third proportional to 31,932 and 64,774.50 is: 131,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932 : 64,774.50 = 64,774.50 : x
  2. Step 2: Convert to fraction form
    31,932/64,774.50 = 64,774.50/x
  3. Step 3: Cross multiply
    31,932x = 64,774.50 × 64,774.50
  4. Step 4: Simplify right side
    31,932x = 4,195,735,850.25
  5. Step 5: Solve for x
    x = 4,195,735,850.25/31,932
  6. Step 6: Final answer
    x = 131,395.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.