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Finding the Third Proportional to 11,669.06 and 17,936.16

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Solution

The third proportional to 11,669.06 and 17,936.16 is: 27,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.06 : 17,936.16 = 17,936.16 : x
  2. Step 2: Convert to fraction form
    11,669.06/17,936.16 = 17,936.16/x
  3. Step 3: Cross multiply
    11,669.06x = 17,936.16 × 17,936.16
  4. Step 4: Simplify right side
    11,669.06x = 321,705,701.02
  5. Step 5: Solve for x
    x = 321,705,701.02/11,669.06
  6. Step 6: Final answer
    x = 27,569.11

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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.