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Finding the Third Proportional to 23,805 and 51,199.31

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Solution

The third proportional to 23,805 and 51,199.31 is: 110,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805 : 51,199.31 = 51,199.31 : x
  2. Step 2: Convert to fraction form
    23,805/51,199.31 = 51,199.31/x
  3. Step 3: Cross multiply
    23,805x = 51,199.31 × 51,199.31
  4. Step 4: Simplify right side
    23,805x = 2,621,369,600.47
  5. Step 5: Solve for x
    x = 2,621,369,600.47/23,805
  6. Step 6: Final answer
    x = 110,118.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.