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Finding the Third Proportional to 13,216.50 and 19,095.38

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Solution

The third proportional to 13,216.50 and 19,095.38 is: 27,589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,216.50 : 19,095.38 = 19,095.38 : x
  2. Step 2: Convert to fraction form
    13,216.50/19,095.38 = 19,095.38/x
  3. Step 3: Cross multiply
    13,216.50x = 19,095.38 × 19,095.38
  4. Step 4: Simplify right side
    13,216.50x = 364,633,346.39
  5. Step 5: Solve for x
    x = 364,633,346.39/13,216.50
  6. Step 6: Final answer
    x = 27,589.25

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.