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Finding the Third Proportional to 5,013.14 and 10,910.95

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Solution

The third proportional to 5,013.14 and 10,910.95 is: 23,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013.14 : 10,910.95 = 10,910.95 : x
  2. Step 2: Convert to fraction form
    5,013.14/10,910.95 = 10,910.95/x
  3. Step 3: Cross multiply
    5,013.14x = 10,910.95 × 10,910.95
  4. Step 4: Simplify right side
    5,013.14x = 119,048,898.10
  5. Step 5: Solve for x
    x = 119,048,898.10/5,013.14
  6. Step 6: Final answer
    x = 23,747.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.