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Finding the Third Proportional to 11,756.81 and 25,313.34

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Solution

The third proportional to 11,756.81 and 25,313.34 is: 54,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.81 : 25,313.34 = 25,313.34 : x
  2. Step 2: Convert to fraction form
    11,756.81/25,313.34 = 25,313.34/x
  3. Step 3: Cross multiply
    11,756.81x = 25,313.34 × 25,313.34
  4. Step 4: Simplify right side
    11,756.81x = 640,765,371.81
  5. Step 5: Solve for x
    x = 640,765,371.81/11,756.81
  6. Step 6: Final answer
    x = 54,501.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.