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Finding the Third Proportional to 10,093.31 and 23,575.31

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Solution

The third proportional to 10,093.31 and 23,575.31 is: 55,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.31 : 23,575.31 = 23,575.31 : x
  2. Step 2: Convert to fraction form
    10,093.31/23,575.31 = 23,575.31/x
  3. Step 3: Cross multiply
    10,093.31x = 23,575.31 × 23,575.31
  4. Step 4: Simplify right side
    10,093.31x = 555,795,359.47
  5. Step 5: Solve for x
    x = 555,795,359.47/10,093.31
  6. Step 6: Final answer
    x = 55,065.70

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.