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Finding the Third Proportional to 10,825.88 and 23,263.31

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Solution

The third proportional to 10,825.88 and 23,263.31 is: 49,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.88 : 23,263.31 = 23,263.31 : x
  2. Step 2: Convert to fraction form
    10,825.88/23,263.31 = 23,263.31/x
  3. Step 3: Cross multiply
    10,825.88x = 23,263.31 × 23,263.31
  4. Step 4: Simplify right side
    10,825.88x = 541,181,708.47
  5. Step 5: Solve for x
    x = 541,181,708.47/10,825.88
  6. Step 6: Final answer
    x = 49,989.65

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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.