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Finding the Third Proportional to 11,181.75 and 17,683.88

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Solution

The third proportional to 11,181.75 and 17,683.88 is: 27,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.75 : 17,683.88 = 17,683.88 : x
  2. Step 2: Convert to fraction form
    11,181.75/17,683.88 = 17,683.88/x
  3. Step 3: Cross multiply
    11,181.75x = 17,683.88 × 17,683.88
  4. Step 4: Simplify right side
    11,181.75x = 312,719,435.02
  5. Step 5: Solve for x
    x = 312,719,435.02/11,181.75
  6. Step 6: Final answer
    x = 27,966.95

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.