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Finding the Third Proportional to 5,549.50 and 12,171.75

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Solution

The third proportional to 5,549.50 and 12,171.75 is: 26,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.50 : 12,171.75 = 12,171.75 : x
  2. Step 2: Convert to fraction form
    5,549.50/12,171.75 = 12,171.75/x
  3. Step 3: Cross multiply
    5,549.50x = 12,171.75 × 12,171.75
  4. Step 4: Simplify right side
    5,549.50x = 148,151,498.06
  5. Step 5: Solve for x
    x = 148,151,498.06/5,549.50
  6. Step 6: Final answer
    x = 26,696.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.