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Finding the Third Proportional to 11,735.44 and 25,314.19

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Solution

The third proportional to 11,735.44 and 25,314.19 is: 54,604.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.44 : 25,314.19 = 25,314.19 : x
  2. Step 2: Convert to fraction form
    11,735.44/25,314.19 = 25,314.19/x
  3. Step 3: Cross multiply
    11,735.44x = 25,314.19 × 25,314.19
  4. Step 4: Simplify right side
    11,735.44x = 640,808,088.79
  5. Step 5: Solve for x
    x = 640,808,088.79/11,735.44
  6. Step 6: Final answer
    x = 54,604.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.