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Finding the Third Proportional to 10,830.38 and 23,272.31

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Solution

The third proportional to 10,830.38 and 23,272.31 is: 50,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.38 : 23,272.31 = 23,272.31 : x
  2. Step 2: Convert to fraction form
    10,830.38/23,272.31 = 23,272.31/x
  3. Step 3: Cross multiply
    10,830.38x = 23,272.31 × 23,272.31
  4. Step 4: Simplify right side
    10,830.38x = 541,600,529.10
  5. Step 5: Solve for x
    x = 541,600,529.10/10,830.38
  6. Step 6: Final answer
    x = 50,007.55

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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.