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Finding the Third Proportional to 31,630.50 and 64,840.50

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Solution

The third proportional to 31,630.50 and 64,840.50 is: 132,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,630.50 : 64,840.50 = 64,840.50 : x
  2. Step 2: Convert to fraction form
    31,630.50/64,840.50 = 64,840.50/x
  3. Step 3: Cross multiply
    31,630.50x = 64,840.50 × 64,840.50
  4. Step 4: Simplify right side
    31,630.50x = 4,204,290,440.25
  5. Step 5: Solve for x
    x = 4,204,290,440.25/31,630.50
  6. Step 6: Final answer
    x = 132,918.87

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.