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Finding the Third Proportional to 5,382.42 and 11,543.39

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Solution

The third proportional to 5,382.42 and 11,543.39 is: 24,756.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.42 : 11,543.39 = 11,543.39 : x
  2. Step 2: Convert to fraction form
    5,382.42/11,543.39 = 11,543.39/x
  3. Step 3: Cross multiply
    5,382.42x = 11,543.39 × 11,543.39
  4. Step 4: Simplify right side
    5,382.42x = 133,249,867.12
  5. Step 5: Solve for x
    x = 133,249,867.12/5,382.42
  6. Step 6: Final answer
    x = 24,756.49

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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.