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Finding the Third Proportional to 10,375.31 and 15,573.38

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Solution

The third proportional to 10,375.31 and 15,573.38 is: 23,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.31 : 15,573.38 = 15,573.38 : x
  2. Step 2: Convert to fraction form
    10,375.31/15,573.38 = 15,573.38/x
  3. Step 3: Cross multiply
    10,375.31x = 15,573.38 × 15,573.38
  4. Step 4: Simplify right side
    10,375.31x = 242,530,008.89
  5. Step 5: Solve for x
    x = 242,530,008.89/10,375.31
  6. Step 6: Final answer
    x = 23,375.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.