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Finding the Third Proportional to 11,605.78 and 25,947.84

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Solution

The third proportional to 11,605.78 and 25,947.84 is: 58,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.78 : 25,947.84 = 25,947.84 : x
  2. Step 2: Convert to fraction form
    11,605.78/25,947.84 = 25,947.84/x
  3. Step 3: Cross multiply
    11,605.78x = 25,947.84 × 25,947.84
  4. Step 4: Simplify right side
    11,605.78x = 673,290,595.27
  5. Step 5: Solve for x
    x = 673,290,595.27/11,605.78
  6. Step 6: Final answer
    x = 58,013.38

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.