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Finding the Third Proportional to 10,830.88 and 23,273.38

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Solution

The third proportional to 10,830.88 and 23,273.38 is: 50,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.88 : 23,273.38 = 23,273.38 : x
  2. Step 2: Convert to fraction form
    10,830.88/23,273.38 = 23,273.38/x
  3. Step 3: Cross multiply
    10,830.88x = 23,273.38 × 23,273.38
  4. Step 4: Simplify right side
    10,830.88x = 541,649,983.89
  5. Step 5: Solve for x
    x = 541,649,983.89/10,830.88
  6. Step 6: Final answer
    x = 50,009.81

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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.