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Finding the Third Proportional to 23,424.19 and 51,217.31

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Solution

The third proportional to 23,424.19 and 51,217.31 is: 111,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424.19 : 51,217.31 = 51,217.31 : x
  2. Step 2: Convert to fraction form
    23,424.19/51,217.31 = 51,217.31/x
  3. Step 3: Cross multiply
    23,424.19x = 51,217.31 × 51,217.31
  4. Step 4: Simplify right side
    23,424.19x = 2,623,213,099.72
  5. Step 5: Solve for x
    x = 2,623,213,099.72/23,424.19
  6. Step 6: Final answer
    x = 111,987.37

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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.