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Finding the Third Proportional to 5,234.63 and 10,982.25

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Solution

The third proportional to 5,234.63 and 10,982.25 is: 23,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.63 : 10,982.25 = 10,982.25 : x
  2. Step 2: Convert to fraction form
    5,234.63/10,982.25 = 10,982.25/x
  3. Step 3: Cross multiply
    5,234.63x = 10,982.25 × 10,982.25
  4. Step 4: Simplify right side
    5,234.63x = 120,609,815.06
  5. Step 5: Solve for x
    x = 120,609,815.06/5,234.63
  6. Step 6: Final answer
    x = 23,040.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.