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Finding the Third Proportional to 15,185.81 and 23,768.44

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Solution

The third proportional to 15,185.81 and 23,768.44 is: 37,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,185.81 : 23,768.44 = 23,768.44 : x
  2. Step 2: Convert to fraction form
    15,185.81/23,768.44 = 23,768.44/x
  3. Step 3: Cross multiply
    15,185.81x = 23,768.44 × 23,768.44
  4. Step 4: Simplify right side
    15,185.81x = 564,938,621.19
  5. Step 5: Solve for x
    x = 564,938,621.19/15,185.81
  6. Step 6: Final answer
    x = 37,201.74

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.