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Finding the Third Proportional to 11,835.16 and 25,310.57

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Solution

The third proportional to 11,835.16 and 25,310.57 is: 54,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835.16 : 25,310.57 = 25,310.57 : x
  2. Step 2: Convert to fraction form
    11,835.16/25,310.57 = 25,310.57/x
  3. Step 3: Cross multiply
    11,835.16x = 25,310.57 × 25,310.57
  4. Step 4: Simplify right side
    11,835.16x = 640,624,771.81
  5. Step 5: Solve for x
    x = 640,624,771.81/11,835.16
  6. Step 6: Final answer
    x = 54,128.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.