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Finding the Third Proportional to 24,327.84 and 53,939.67

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Solution

The third proportional to 24,327.84 and 53,939.67 is: 119,594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,327.84 : 53,939.67 = 53,939.67 : x
  2. Step 2: Convert to fraction form
    24,327.84/53,939.67 = 53,939.67/x
  3. Step 3: Cross multiply
    24,327.84x = 53,939.67 × 53,939.67
  4. Step 4: Simplify right side
    24,327.84x = 2,909,488,201.98
  5. Step 5: Solve for x
    x = 2,909,488,201.98/24,327.84
  6. Step 6: Final answer
    x = 119,594.99

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.