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Finding the Third Proportional to 4,932.14 and 10,825.37

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Solution

The third proportional to 4,932.14 and 10,825.37 is: 23,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.14 : 10,825.37 = 10,825.37 : x
  2. Step 2: Convert to fraction form
    4,932.14/10,825.37 = 10,825.37/x
  3. Step 3: Cross multiply
    4,932.14x = 10,825.37 × 10,825.37
  4. Step 4: Simplify right side
    4,932.14x = 117,188,532.46
  5. Step 5: Solve for x
    x = 117,188,532.46/4,932.14
  6. Step 6: Final answer
    x = 23,760.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.