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Finding the Third Proportional to 11,680.13 and 27,420.94

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Solution

The third proportional to 11,680.13 and 27,420.94 is: 64,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.13 : 27,420.94 = 27,420.94 : x
  2. Step 2: Convert to fraction form
    11,680.13/27,420.94 = 27,420.94/x
  3. Step 3: Cross multiply
    11,680.13x = 27,420.94 × 27,420.94
  4. Step 4: Simplify right side
    11,680.13x = 751,907,813.38
  5. Step 5: Solve for x
    x = 751,907,813.38/11,680.13
  6. Step 6: Final answer
    x = 64,374.98

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.