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Finding the Third Proportional to 23,896.13 and 52,381.13

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Solution

The third proportional to 23,896.13 and 52,381.13 is: 114,821.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.13 : 52,381.13 = 52,381.13 : x
  2. Step 2: Convert to fraction form
    23,896.13/52,381.13 = 52,381.13/x
  3. Step 3: Cross multiply
    23,896.13x = 52,381.13 × 52,381.13
  4. Step 4: Simplify right side
    23,896.13x = 2,743,782,256.27
  5. Step 5: Solve for x
    x = 2,743,782,256.27/23,896.13
  6. Step 6: Final answer
    x = 114,821.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.