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Finding the Third Proportional to 5,059.97 and 10,524.94

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Solution

The third proportional to 5,059.97 and 10,524.94 is: 21,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.97 : 10,524.94 = 10,524.94 : x
  2. Step 2: Convert to fraction form
    5,059.97/10,524.94 = 10,524.94/x
  3. Step 3: Cross multiply
    5,059.97x = 10,524.94 × 10,524.94
  4. Step 4: Simplify right side
    5,059.97x = 110,774,309.38
  5. Step 5: Solve for x
    x = 110,774,309.38/5,059.97
  6. Step 6: Final answer
    x = 21,892.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.