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Finding the Third Proportional to 5,382.66 and 11,543.81

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Solution

The third proportional to 5,382.66 and 11,543.81 is: 24,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.66 : 11,543.81 = 11,543.81 : x
  2. Step 2: Convert to fraction form
    5,382.66/11,543.81 = 11,543.81/x
  3. Step 3: Cross multiply
    5,382.66x = 11,543.81 × 11,543.81
  4. Step 4: Simplify right side
    5,382.66x = 133,259,607.04
  5. Step 5: Solve for x
    x = 133,259,607.04/5,382.66
  6. Step 6: Final answer
    x = 24,757.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.