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Finding the Third Proportional to 11,709.56 and 24,390.56

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Solution

The third proportional to 11,709.56 and 24,390.56 is: 50,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.56 : 24,390.56 = 24,390.56 : x
  2. Step 2: Convert to fraction form
    11,709.56/24,390.56 = 24,390.56/x
  3. Step 3: Cross multiply
    11,709.56x = 24,390.56 × 24,390.56
  4. Step 4: Simplify right side
    11,709.56x = 594,899,539.07
  5. Step 5: Solve for x
    x = 594,899,539.07/11,709.56
  6. Step 6: Final answer
    x = 50,804.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.