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Finding the Third Proportional to 23,662.13 and 36,384.19

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Solution

The third proportional to 23,662.13 and 36,384.19 is: 55,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.13 : 36,384.19 = 36,384.19 : x
  2. Step 2: Convert to fraction form
    23,662.13/36,384.19 = 36,384.19/x
  3. Step 3: Cross multiply
    23,662.13x = 36,384.19 × 36,384.19
  4. Step 4: Simplify right side
    23,662.13x = 1,323,809,100.04
  5. Step 5: Solve for x
    x = 1,323,809,100.04/23,662.13
  6. Step 6: Final answer
    x = 55,946.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.