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Finding the Third Proportional to 11,568.94 and 24,256.69

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Solution

The third proportional to 11,568.94 and 24,256.69 is: 50,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.94 : 24,256.69 = 24,256.69 : x
  2. Step 2: Convert to fraction form
    11,568.94/24,256.69 = 24,256.69/x
  3. Step 3: Cross multiply
    11,568.94x = 24,256.69 × 24,256.69
  4. Step 4: Simplify right side
    11,568.94x = 588,386,888.47
  5. Step 5: Solve for x
    x = 588,386,888.47/11,568.94
  6. Step 6: Final answer
    x = 50,859.20

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.