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Finding the Third Proportional to 5,128.31 and 10,893.94

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Solution

The third proportional to 5,128.31 and 10,893.94 is: 23,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.31 : 10,893.94 = 10,893.94 : x
  2. Step 2: Convert to fraction form
    5,128.31/10,893.94 = 10,893.94/x
  3. Step 3: Cross multiply
    5,128.31x = 10,893.94 × 10,893.94
  4. Step 4: Simplify right side
    5,128.31x = 118,677,874.25
  5. Step 5: Solve for x
    x = 118,677,874.25/5,128.31
  6. Step 6: Final answer
    x = 23,141.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.