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Finding the Third Proportional to 20,896.31 and 44,706.94

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Solution

The third proportional to 20,896.31 and 44,706.94 is: 95,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.31 : 44,706.94 = 44,706.94 : x
  2. Step 2: Convert to fraction form
    20,896.31/44,706.94 = 44,706.94/x
  3. Step 3: Cross multiply
    20,896.31x = 44,706.94 × 44,706.94
  4. Step 4: Simplify right side
    20,896.31x = 1,998,710,260.63
  5. Step 5: Solve for x
    x = 1,998,710,260.63/20,896.31
  6. Step 6: Final answer
    x = 95,648.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.