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Finding the Third Proportional to 10,740.09 and 23,067.28

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Solution

The third proportional to 10,740.09 and 23,067.28 is: 49,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740.09 : 23,067.28 = 23,067.28 : x
  2. Step 2: Convert to fraction form
    10,740.09/23,067.28 = 23,067.28/x
  3. Step 3: Cross multiply
    10,740.09x = 23,067.28 × 23,067.28
  4. Step 4: Simplify right side
    10,740.09x = 532,099,464.27
  5. Step 5: Solve for x
    x = 532,099,464.27/10,740.09
  6. Step 6: Final answer
    x = 49,543.28

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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.