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Finding the Third Proportional to 4,139.25 and 9,762.56

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Solution

The third proportional to 4,139.25 and 9,762.56 is: 23,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,139.25 : 9,762.56 = 9,762.56 : x
  2. Step 2: Convert to fraction form
    4,139.25/9,762.56 = 9,762.56/x
  3. Step 3: Cross multiply
    4,139.25x = 9,762.56 × 9,762.56
  4. Step 4: Simplify right side
    4,139.25x = 95,307,626.57
  5. Step 5: Solve for x
    x = 95,307,626.57/4,139.25
  6. Step 6: Final answer
    x = 23,025.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.