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Finding the Third Proportional to 11,354.06 and 27,427.50

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Solution

The third proportional to 11,354.06 and 27,427.50 is: 66,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.06 : 27,427.50 = 27,427.50 : x
  2. Step 2: Convert to fraction form
    11,354.06/27,427.50 = 27,427.50/x
  3. Step 3: Cross multiply
    11,354.06x = 27,427.50 × 27,427.50
  4. Step 4: Simplify right side
    11,354.06x = 752,267,756.25
  5. Step 5: Solve for x
    x = 752,267,756.25/11,354.06
  6. Step 6: Final answer
    x = 66,255.38

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.