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Finding the Third Proportional to 5,980.78 and 12,918.09

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Solution

The third proportional to 5,980.78 and 12,918.09 is: 27,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.78 : 12,918.09 = 12,918.09 : x
  2. Step 2: Convert to fraction form
    5,980.78/12,918.09 = 12,918.09/x
  3. Step 3: Cross multiply
    5,980.78x = 12,918.09 × 12,918.09
  4. Step 4: Simplify right side
    5,980.78x = 166,877,146.13
  5. Step 5: Solve for x
    x = 166,877,146.13/5,980.78
  6. Step 6: Final answer
    x = 27,902.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.