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Finding the Third Proportional to 12,313.27 and 25,685.86

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Solution

The third proportional to 12,313.27 and 25,685.86 is: 53,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.27 : 25,685.86 = 25,685.86 : x
  2. Step 2: Convert to fraction form
    12,313.27/25,685.86 = 25,685.86/x
  3. Step 3: Cross multiply
    12,313.27x = 25,685.86 × 25,685.86
  4. Step 4: Simplify right side
    12,313.27x = 659,763,371.83
  5. Step 5: Solve for x
    x = 659,763,371.83/12,313.27
  6. Step 6: Final answer
    x = 53,581.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.