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Finding the Third Proportional to 2,436.96 and 5,025.80

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Solution

The third proportional to 2,436.96 and 5,025.80 is: 10,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,436.96 : 5,025.80 = 5,025.80 : x
  2. Step 2: Convert to fraction form
    2,436.96/5,025.80 = 5,025.80/x
  3. Step 3: Cross multiply
    2,436.96x = 5,025.80 × 5,025.80
  4. Step 4: Simplify right side
    2,436.96x = 25,258,634.23
  5. Step 5: Solve for x
    x = 25,258,634.23/2,436.96
  6. Step 6: Final answer
    x = 10,364.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.