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Finding the Third Proportional to 11,216.81 and 23,596.31

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Solution

The third proportional to 11,216.81 and 23,596.31 is: 49,638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.81 : 23,596.31 = 23,596.31 : x
  2. Step 2: Convert to fraction form
    11,216.81/23,596.31 = 23,596.31/x
  3. Step 3: Cross multiply
    11,216.81x = 23,596.31 × 23,596.31
  4. Step 4: Simplify right side
    11,216.81x = 556,785,963.60
  5. Step 5: Solve for x
    x = 556,785,963.60/11,216.81
  6. Step 6: Final answer
    x = 49,638.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.