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Finding the Third Proportional to 15,811.31 and 23,709.38

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Solution

The third proportional to 15,811.31 and 23,709.38 is: 35,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,811.31 : 23,709.38 = 23,709.38 : x
  2. Step 2: Convert to fraction form
    15,811.31/23,709.38 = 23,709.38/x
  3. Step 3: Cross multiply
    15,811.31x = 23,709.38 × 23,709.38
  4. Step 4: Simplify right side
    15,811.31x = 562,134,462.89
  5. Step 5: Solve for x
    x = 562,134,462.89/15,811.31
  6. Step 6: Final answer
    x = 35,552.68

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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.