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Finding the Third Proportional to 23,666.06 and 51,786.56

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Solution

The third proportional to 23,666.06 and 51,786.56 is: 113,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,666.06 : 51,786.56 = 51,786.56 : x
  2. Step 2: Convert to fraction form
    23,666.06/51,786.56 = 51,786.56/x
  3. Step 3: Cross multiply
    23,666.06x = 51,786.56 × 51,786.56
  4. Step 4: Simplify right side
    23,666.06x = 2,681,848,055.57
  5. Step 5: Solve for x
    x = 2,681,848,055.57/23,666.06
  6. Step 6: Final answer
    x = 113,320.42

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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.