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Finding the Third Proportional to 5,468.63 and 11,811.38

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Solution

The third proportional to 5,468.63 and 11,811.38 is: 25,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.63 : 11,811.38 = 11,811.38 : x
  2. Step 2: Convert to fraction form
    5,468.63/11,811.38 = 11,811.38/x
  3. Step 3: Cross multiply
    5,468.63x = 11,811.38 × 11,811.38
  4. Step 4: Simplify right side
    5,468.63x = 139,508,579.39
  5. Step 5: Solve for x
    x = 139,508,579.39/5,468.63
  6. Step 6: Final answer
    x = 25,510.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.