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Finding the Third Proportional to 11,638.13 and 25,121.81

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Solution

The third proportional to 11,638.13 and 25,121.81 is: 54,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.13 : 25,121.81 = 25,121.81 : x
  2. Step 2: Convert to fraction form
    11,638.13/25,121.81 = 25,121.81/x
  3. Step 3: Cross multiply
    11,638.13x = 25,121.81 × 25,121.81
  4. Step 4: Simplify right side
    11,638.13x = 631,105,463.29
  5. Step 5: Solve for x
    x = 631,105,463.29/11,638.13
  6. Step 6: Final answer
    x = 54,227.42

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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.