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Finding the Third Proportional to 4,939.31 and 10,766.25

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Solution

The third proportional to 4,939.31 and 10,766.25 is: 23,467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.31 : 10,766.25 = 10,766.25 : x
  2. Step 2: Convert to fraction form
    4,939.31/10,766.25 = 10,766.25/x
  3. Step 3: Cross multiply
    4,939.31x = 10,766.25 × 10,766.25
  4. Step 4: Simplify right side
    4,939.31x = 115,912,139.06
  5. Step 5: Solve for x
    x = 115,912,139.06/4,939.31
  6. Step 6: Final answer
    x = 23,467.26

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