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Finding the Third Proportional to 8,215.50 and 12,640.50

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Solution

The third proportional to 8,215.50 and 12,640.50 is: 19,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.50 : 12,640.50 = 12,640.50 : x
  2. Step 2: Convert to fraction form
    8,215.50/12,640.50 = 12,640.50/x
  3. Step 3: Cross multiply
    8,215.50x = 12,640.50 × 12,640.50
  4. Step 4: Simplify right side
    8,215.50x = 159,782,240.25
  5. Step 5: Solve for x
    x = 159,782,240.25/8,215.50
  6. Step 6: Final answer
    x = 19,448.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.