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Finding the Third Proportional to 11,497.77 and 16,868.09

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Solution

The third proportional to 11,497.77 and 16,868.09 is: 24,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.77 : 16,868.09 = 16,868.09 : x
  2. Step 2: Convert to fraction form
    11,497.77/16,868.09 = 16,868.09/x
  3. Step 3: Cross multiply
    11,497.77x = 16,868.09 × 16,868.09
  4. Step 4: Simplify right side
    11,497.77x = 284,532,520.87
  5. Step 5: Solve for x
    x = 284,532,520.87/11,497.77
  6. Step 6: Final answer
    x = 24,746.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.