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Finding the Third Proportional to 11,916.38 and 23,533.13

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Solution

The third proportional to 11,916.38 and 23,533.13 is: 46,474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.38 : 23,533.13 = 23,533.13 : x
  2. Step 2: Convert to fraction form
    11,916.38/23,533.13 = 23,533.13/x
  3. Step 3: Cross multiply
    11,916.38x = 23,533.13 × 23,533.13
  4. Step 4: Simplify right side
    11,916.38x = 553,807,972.27
  5. Step 5: Solve for x
    x = 553,807,972.27/11,916.38
  6. Step 6: Final answer
    x = 46,474.53

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.