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Finding the Third Proportional to 11,750.06 and 24,073.31

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Solution

The third proportional to 11,750.06 and 24,073.31 is: 49,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.06 : 24,073.31 = 24,073.31 : x
  2. Step 2: Convert to fraction form
    11,750.06/24,073.31 = 24,073.31/x
  3. Step 3: Cross multiply
    11,750.06x = 24,073.31 × 24,073.31
  4. Step 4: Simplify right side
    11,750.06x = 579,524,374.72
  5. Step 5: Solve for x
    x = 579,524,374.72/11,750.06
  6. Step 6: Final answer
    x = 49,320.96

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.